Question 1

Factor the following trinomial: $3x^2+7x-20$

Accepted Answer

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

Answer

$(x-5)(x+12)$

Answer

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

Answer

$(x+5)(x-12)$

Question 2

Factor the following trinomial: $-2x^2z+18xz-36z$

Accepted Answer

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

Answer

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

Answer

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

Answer

$(-2z)(x^2+9x-18)$

Question 3

Factoring the following expression: $5x^3+40x^2+3x^2+24x$

Accepted Answer

$x(x+8)(5x+3)$

Answer

$(5x+8)(x^2+3)$

Answer

$x(3x+5)(x+8)$

Answer

$(5x^2+3)(x-8)$

Question 4

Rationalize and Simplify: $\frac{2}{\sqrt6-3}$

Accepted Answer

$-\frac{2(\sqrt6+3)}{3}$

Answer

$-\frac{2(\sqrt6+3)}{15}$

Answer

$-\frac{(\sqrt12+6)}{3}$

Answer

$-\frac{2(\sqrt2+1)}{1}$

Question 5

Rationalize and Simplify: $\frac{2x^2+3x-54}{\sqrt{2x}+3}$

Accepted Answer

$(x+6)(\sqrt{2x}-3)$

Answer

$(x+6)(2x-9)$

Answer

$\frac{(x-3)(x+6)(\sqrt{2x}+3)}{2x-3}$

Answer

$\frac{(2x^2+3x-54)(\sqrt{2x}+3)}{2x-9}$

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