2024.01.13_Factor_Quad_Expressions

Question 1

$$\textrm{Factor:}$$$$x^2-4x-12$$

Accepted Answer

$$(x-6)(x+2)$$

Answer

$$(x+3)(x+4)$$

Answer

$$(x-12)(x-1)$$

Answer

$$(x-6)(x+7)$$

Question 2

$$\textrm{Factor:}$$
$$x^2+9x-10$$

Accepted Answer

$$(x+10)(x-1)$$

Answer

$$(x-10)(x-1)$$

Answer

$$(x+5)(x+2)$$

Answer

$$(x+6)(x+4)$$

Question 3

$$\textrm{Factor:}$$
$$x^2+7x-30$$

Accepted Answer

$$(x-3)(x+10)$$

Answer

$$(x-6)(x+5)$$

Answer

$$(x-1)(x+12)$$

Answer

$$(x+15)(x+2)$$

Question 4

$$\textrm{Factor:}$$
$$2x^2+4x-30$$

Accepted Answer

$$2(x-3)(x+5)$$

Answer

$$2(x+3)(x+10)$$

Answer

$$(2x-3)(x+6)$$

Answer

$$(x-4)(2x-5)$$

Question 5

$$\textrm{Factor:}$$
$$4x^2-1$$

Accepted Answer

$$(2x-1)(2x+1)$$

Answer

$$2(x+1)(x+1)$$

Answer

$$4(x+2)(x-2)$$

Answer

$$x(4x-1)$$

Question 6

$$\textrm{Factor:}$$
$$2x^2-11x+15$$

Accepted Answer

$$(x-3)(2x-5)$$

Answer

$$2(x-3)(x-5)$$

Answer

$$(2x+1)(x-14)$$

Answer

$$(x+10)(x+5)$$

Question 7

$$\textrm{Factor:}$$
$$x^2+13x+22$$

Accepted Answer

$$(x+2)(x+11)$$

Answer

$$(x-1)(x-22)$$

Answer

$$(x+4)(x+5)$$

Answer

$$x(x+11)$$

Question 8

$$\textrm{Factor:}$$
$$x^2-8x-48$$

Accepted Answer

$$(x-12)(x+4)$$

Answer

$$(x-6)(x-8)$$

Answer

$$(x+4)(x+5)$$

Answer

$$x(x+11)$$

Question 9

$$\textrm{Factor:}$$
$$2x^2+10x+12$$

Accepted Answer

$$2(x+2)(x+3)$$

Answer

$$2(x+1)(x-6)$$

Answer

$$(2x+2)(x+4)$$

Answer

$$2x(x-6)$$

Question 10

$$\textrm{Factor:}$$
$$ x^2 + 8x + 16$$

Accepted Answer

$$ (x + 4) ^ 2$$

Answer

$$ 6 (x + 3) (x - 6) $$

Answer

$$ (x + 4) (x - 4)$$

Answer

$$ 6 (x - 8) (x - 7)$$

Question 11

$$\textrm{Factor:}$$
$$x^2 + 17x + 70$$

Accepted Answer

$$(x + 10) (x + 7) $$

Answer

$$ (x + 10) (x - 7)$$

Answer

$$(x - 10) (x + 10) $$

Answer

$$ (x + 5) (x - 14)$$

Question 12

$$\textrm{Factor:}$$
$$ x^2 + 4x - 45 $$

Accepted Answer

$$(x + 9) (x - 5)$$

Answer

$$6 (x + 3) (x - 7)$$

Answer

$$(x + 9) (x + 5)$$

Answer

$$(x + 1) (x + 8)$$

Question 13

$$\textrm{Factor:}$$
$$ x^2 + 16x + 63$$

Accepted Answer

$$ (x + 9) (x + 7)$$

Answer

$$ (x + 9) (x - 7) $$

Answer

$$(x - 9) (x + 7) $$

Answer

$$(x - 9) (x - 7)$$

Question 14

$$\textrm{Factor:}$$
$$ x^2-64$$

Accepted Answer

$$(x - 8) (x + 8) $$

Answer

$$(x + 10) (x + 4)$$

Answer

$$(x + 8) (x - 2)$$

Answer

$$(x + 8) ^ 2 $$

Question 15

$$\textrm{Factor:}$$
$$ 2x^2 + 10x + 8 $$

Accepted Answer

$$2 (x + 4) (x + 1)$$

Answer

$$2 (x + 4) (x - 1)$$

Answer

$$(2 x + 5) (x +3)$$

Answer

$$2 (x + 3) (x + 2)$$

Question 16

$$\textrm{Factor:}$$
$$ 5x^2 - 8x + 3 $$

Accepted Answer

$$(5x - 3) (x - 1) $$

Answer

$$(5x + 3) (x + 1) $$

Answer

$$ 5(x + 3) (x -2) $$

Answer

$$ (5x + 3) (x - 2)$$

Question 17

$$\textrm{Factor:}$$
$$ 3x^2 + 17x + 10 $$

Accepted Answer

$$ (3x + 2) (x + 5) $$

Answer

$$ (3x - 2) (x + 5)$$

Answer

$$ (x + 2) (3x - 5)$$

Answer

$$3 (x + 2) (x - 5) $$

Question 18

$$\textrm{Factor:}$$
$$ 2x^2 - 5x - 3 $$

Accepted Answer

$$ (2x + 1) (x - 3) $$

Answer

$$ (2x + 1) (x - 4) $$

Answer

$$ (2x + 1) (x + 3) $$

Answer

$$2(x-3)$$

Question 19

$$\textrm{Factor:}$$
$$-3x^2+24x-36$$

Accepted Answer

$$-3(x-6)(x-2)$$

Answer

$$(x+4)(x+1)$$

Answer

$$-3(x+2)(x+6)$$

Answer

$$(3x+2)(x+2)$$

Question 20

$$\textrm{Factor:}$$
$$x^2+11x+24$$

Accepted Answer

$$(x+3)(x+8)$$

Answer

$$(x+2)(x+12)$$

Answer

$$(x+15)(x-13)$$

Answer

$$(x-3)(x+8)$$

Question 21

$$\textrm{Factor:}$$
$$x^2+x-56$$

Accepted Answer

$$(x-7)(x+8)$$

Answer

$$(x+8)^2$$

Answer

$$(x+7)(x-7)$$

Answer

$$(x+2)(x+28)$$

Question 22

$$\textrm{Factor:}$$
$$49+48x-x^2$$

Accepted Answer

$$-(x-49)(x+1)$$

Answer

$$-(x+7)(x-7)$$

Answer

$$(x+7)^2$$

Answer

$$(x+6)(x+8)$$

Question 23

$$\textrm{Factor:}$$
$$-x^2+12x-27$$

Accepted Answer

$$-(x-3)(x-9)$$

Answer

$$-(x+9)(x+3)$$

Answer

$$(x+6)(x+3)$$

Answer

$$(x-12)(x-2)$$

Question 24

$$\textrm{Factor:}$$
$$-x^2+2x+35$$

Accepted Answer

$$-(x+5)(x-7)$$

Answer

$$-(x-5)(x-7)$$

Answer

$$-(x-2)(x+17)$$

Answer

$$(x+14)(x+2)$$

Question 25

$$\textrm{Factor:}$$
$$-10x^2+20x+150$$

Accepted Answer

$$-10(x+3)(x-5)$$

Answer

$$10(x-3)(x-5)$$

Answer

$$(10x+1)(x-50)$$

Answer

$$(2x+9)(x-10)$$

Question 26

$$\textrm{Factor:}$$
$$5x^2-25x-180$$

Accepted Answer

$$5(x-9)(x+4)$$

Answer

$$5(x-4)(x-6)$$

Answer

$$(5x-1)(x+10)$$

Answer

$$(5x+2)(x+3)$$

Question 27

$$\textrm{Factor:}$$
$$10x^2-6x-4$$

Accepted Answer

$$2(5x+2)(x-1)$$

Answer

$$(10x+8)(x-2)$$

Answer

$$5(2x-5)(x+7)$$

Answer

$$(5x+3)(2x-3)$$

Question 28

$$\textrm{Factor:}$$
$$6x^2-x-1$$

Accepted Answer

$$(3x+1)(2x-1)$$

Answer

$$6(x+1)(x-2)$$

Answer

$$(6x+5)(x-1)$$

Answer

$$(2x+9)(3x-5)$$

Question 29

$$\textrm{Factor:}$$
$$4-9x^2$$

Accepted Answer

$$-(3x+2)(3x-2)$$

Answer

$$-(9x+1)(x-1)$$

Answer

$$(6x+1)(3x+1)$$

Answer

$$(x+5)(x-4)$$

Question 30

$$\textrm{Factor:}$$
$$3x^2-75$$

Accepted Answer

$$3(x+5)(x-5)$$

Answer

$$(3x-1)(x+10)$$

Answer

$$3(x+10)(x-5)$$

Answer

$$(x+3)(x+9)$$

Question 31

$$\textrm{Factor:}$$
$$x^2+14x+40$$

Accepted Answer

$$(x+10)(x+4)$$

Answer

$$(x-10)(x-4)$$

Answer

$$(x-8)(x-5)$$

Answer

$$(x-2)(x+20)$$

Question 32

$$\textrm{Factor:}$$
$$x^2-14x+49$$

Accepted Answer

$$(x-7)^2$$

Answer

$$(x+7)(x-7)$$

Answer

$$(x-2)(x-7)$$

Answer

$$(x+1)(x+49)$$

Question 33

$$\textrm{Factor:}$$
$$x^2-12x-13$$

Accepted Answer

$$(x+1)(x-13)$$

Answer

$$(x+13)(x+2)$$

Answer

$$(x-4)(x-3)$$

Answer

$$(x-14)(x+1)$$

Question 34

$$\textrm{Factor:}$$
$$4x^2+24x+36$$

Accepted Answer

$$4(x+3)^2$$

Answer

$$(x+3)(x-3)$$

Answer

$$(x-4)(x-9)$$

Answer

$$4(x+1)(x-1)$$

Question 35

$$\textrm{Factor:}$$
$$x^2-36$$

Accepted Answer

$$(x+6)(x-6)$$

Answer

$$(x-9)(x-4)$$

Answer

$$6(x+2)(x+3)$$

Answer

$$(6x+1)(6x+5)$$

Question 36

$$\textrm{Factor:}$$
$$x^2-4x+4$$

Accepted Answer

$$(x-2)^2$$

Answer

$$(x+2)(x-2)$$

Answer

$$(x+4)(x+1)$$

Answer

$$(x+3)(x-1)$$

Question 37

$$\textrm{Factor:}$$
$$-7x^2+7$$

Accepted Answer

$$-7(x+1)(x-1)$$

Answer

$$(x+7)(x-1)$$

Answer

$$(x+7)(x-7)$$

Answer

$$(x+3)(x+4)$$

Question 38

$$\textrm{Factor:}$$
$$x^2+7x+12$$

Accepted Answer

$$(x+4)(x+3)$$

Answer

$$(x-4)(x-3)$$

Answer

$$(x+2)(x-6)$$

Answer

$$(x+12)(x-1)$$

Question 39

$$\textrm{Factor:}$$
$$4x^2+15x+9$$

Accepted Answer

$$(x+3)(4x+3)$$

Answer

$$(2x+3)(2x-1)$$

Answer

$$4(x+3)^2$$

Answer

$$(x+7)(x-4)$$

Question 40

$$\textrm{Factor:}$$
$$-3x^2-8x-5$$

Accepted Answer

$$-(3x+5)(x+1)$$

Answer

$$-3(x+10)(x-5)$$

Answer

$$(-3x+4)(x-2)$$

Answer

$$(x+9)(x-5)$$

Question 41

$$\textrm{Factor:}$$
$$4x^2-100$$

Accepted Answer

$$4(x+5)(x-5)$$

Answer

$$4(x+10)(x-10)$$

Answer

$$(2x+5)(2x-5)$$

Answer

$$(4x+3)(x-5)$$

Question 42

$$\textrm{Factor:}$$
$$x^2-16x+64$$

Accepted Answer

$$(x-8)^2$$

Answer

$$(x+8)^2$$

Answer

$$(x+8)(x-8)$$

Answer

$$(x+16)(x+4)$$

Question 43

$$\textrm{Factor:}$$
$$28+24x-4x^2$$

Accepted Answer

$$-4(x+1)(x-7)$$

Answer

$$-4(x+10)(x-4)$$

Answer

$$(x-8)(4x+1)$$

Answer

$$(x+4)(x+7)$$

Question 44

$$\textrm{Factor:}$$
$$2x^2+11x+14$$

Accepted Answer

$$(2x+7)(x+2)$$

Answer

$$2(x+7)^2$$

Answer

$$(2x-1)(x-14)$$

Answer

$$(x-28)(x-1)$$

Question 45

$$\textrm{Factor:}$$
$$-2x^2+15x+8$$

Accepted Answer

$$-(2x+1)(x-8)$$

Answer

$$-(2x-4)(x-10)$$

Answer

$$-2(x+4)(x+2)$$

Answer

$$(x+8)(x+1)$$

Question 46

$$\textrm{Factor:}$$
$$x^2-7x-44$$

Accepted Answer

$$(x+4)(x-11)$$

Answer

$$(x+2)(x+22)$$

Answer

$$(x+10)(x+4)$$

Answer

$$(x+6)(x+8)$$

Question 47

$$\textrm{Factor:}$$
$$x^2-14x+48$$

Accepted Answer

$$(x-6)(x-8)$$

Answer

$$(x+16)(x+3)$$

Answer

$$(x-16)(x-3)$$

Answer

$$(x+12)(x+4)$$

Question 48

$$\textrm{Factor:}$$
$$2x^2+12x-110$$

Accepted Answer

$$2(x-5)(x+11)$$

Answer

$$-2(x+10)(x-11)$$

Answer

$$(2x+5)(x+11)$$

Answer

$$(x+12)(x-1)$$

Question 49

$$\textrm{Factor:}$$
$$x^2-4x-32$$

Accepted Answer

$$(x-8)(x+4)$$

Answer

$$(x-16)(x+2)$$

Answer

$$(x+4)(x-4)$$

Answer

$$(x-33)(x+1)$$

Question 50

$$\textrm{Factor:}$$
$$x^2+15x+54$$

Accepted Answer

$$(x+9)(x+6)$$

Answer

$$(x-2)(x-27)$$

Answer

$$(x+3)(x+18)$$

Answer

$$(x+7)(x-8)$$

2024.01.13_Factor_Quad_Expressions

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