Question 1

Factor the following polynomial:  $6x^2 -24$

Accepted Answer

$6(x^2-4)$

Answer

$6x(x-4)$

Answer

$2(3x^2-12)$

Answer

$3(2x^2-8)$

Question 2

Factor the following polynomial:  $14x^2-35x$

Accepted Answer

$7x(2x-5)$

Answer

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

Answer

$7x(2x+5)$

Answer

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

Question 3

Factor the following polynomial:  $17x^2 +51x$

Accepted Answer

$17x(x+3)$

Answer

$17(x^2+3)$

Answer

$17x(x-3)$

Answer

$x(17x+51)$

Question 4

Factor the following polynomial:  $3x^2 +24x+9$

Accepted Answer

$3(x^2+8x+3)$

Answer

$x(x^2+8x+3)$

Answer

$3x(x+8+3)$

Answer

$3x(x^2+8x+3)$

Question 5

Factor the following polynomial:  $14x^2-35x$

Accepted Answer

$7x(2x-5)$

Answer

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

Answer

$7x(2x+5)$

Answer

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

Question 6

Factor the following polynomial:  $x^2-20x+100$

Accepted Answer

$(x-10)^2$

Answer

$(x-9)^2$

Answer

$(x+10)^2$

Answer

$(x+5)^2$

Question 7

Factor the following polynomial:  $x^2+22x+121$

Accepted Answer

$(x+11)^2$

Answer

$(x+12)^2$

Answer

$(x-11)^2$

Answer

$(x-12)^2$

Question 8

Factor the following polynomial:  $25x^2-120x+144$

Accepted Answer

$(5x-12)^2$

Answer

$(5x-11)^2$

Answer

$(5x+12)^2$

Answer

$(5x+13)^2$

Question 9

Factor the following polynomial:  $49x^2+84x+36$

Accepted Answer

$(7x-6)^2$

Answer

$(6x+7)^2$

Answer

$(7x+6)^2$

Answer

$(6x-7)^2$

Question 10

Factor the following polynomial:  $81x^2-180x+100$

Accepted Answer

$(9x-10)(9x-10)$

Answer

$(10x-9)(10x-9)$

Answer

$(9x+10)(9x+10)$

Answer

$(10x+9)(10x+9)$

Question 11

Factor the following polynomial:  $9x^2-1$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 12

Factor the following polynomial:  $125x^4-20y^4$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 13

Factor the following polynomial:  $4m^2-49$

Accepted Answer

$(2m+7)(2m-7)$

Answer

$(2m-7)(2m-7)$

Answer

$(2m^2+7)(2m^2-7)$

Answer

$(2m+7)(2m+7)$

Question 14

Given that the area of a rectangle is  $p^2-36$, what are the dimensions of the rectangle?

Accepted Answer

The dimensions of the rectangle are $(p+6)(p-6)$

Answer

The dimensions of the rectangle are $(p-6)(p-6)$

Answer

The dimensions of the rectangle are $(p+6)^2$

Answer

The dimensions of the rectangle are $(p+6)(p+6)$

Question 15

Given that the area of a square is  $y^2-16y+64$, what is the dimensions of the square?

Accepted Answer

The dimension of the square is $(y-8)^2$

Answer

The dimension of the square is $(y+8)^2$

Answer

The dimension of the square is $(y-6)^2$

Answer

The dimension of the square is $(y+6)^2$

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