Quiz about Factoring Quadratics Quiz Review

Question 1

Factor out the GCF to rewrite the given expression

$$-8x^2-36x$$

Accepted Answer

-4x(2x+9)

Answer

-8x(x-4)

Answer

-8x(x+4)

Answer

4x(2x-9)

Question 2

Factor

$$x^2-6x+5$$

Accepted Answer

(x-5)(x-1)

Answer

(x+5)(x+1)

Answer

(x-3)(x-2)

Answer

(x-3)(x+2)

Question 3

Factor to find the equivalent expression

$$x^2-10x+25$$

Accepted Answer

$$\left(x-5\right)^2$$

Answer

$$\left(x+5\right)^2$$

Answer

$$\left(x-5\right)\left(x+5\right)$$

Answer

$$\left(x-15\right)\left(x+5\right)$$

Question 4

Factor using the Difference of Two Squares

$$16x^2-49$$

Accepted Answer

$$\left(4x\ +7\right)\left(4x\ -\ 7\right)$$

Answer

$$\left(8x\ +\ 7\right)\left(8x\ -\ 7\right)$$

Answer

$$\left(4x\ -\ 7\right)^2$$

Answer

$$\left(8x\ -\ 7\right)^2$$

Question 5

$$4x^2+29x-63\ =\ 0$$

When factoring the trinomial, you'd need to find the numbers that multiply to ____ and add to ____.

Accepted Answer

-252; 29

Answer

252; 29

Answer

36; -7

Answer

-63; 29

Question 6

$$4x^2+29x-63\ =\ 0$$

When factoring the trinomial, after you find the factors you'd have to divide them by ___, because it's the _________.

Accepted Answer

4; leading coefficient

Answer

4; discriminant

Answer

2; leading coefficient

Answer

2; quadratic formula

Question 7

Factor the trinomial

$$4x^2+29x-63$$

Accepted Answer

$$\left(x+9\right)\left(4x-7\right)$$

Answer

$$\left(x-9\right)\left(4x+7\right)$$

Answer

$$\left(x+36\right)\left(x-7\right)$$

Answer

$$\left(x+9\right)\left(7x-4\right)$$

Question 8

Solve by factoring

$$x^2+3x\ -10\ =\ -10$$

Accepted Answer

$$x\ =\ 0,\ -3$$

Answer

$$x=\ -5,\ -2$$

Answer

$$x\ =\ 5,\ -2$$

Answer

$$x\ =\ 5,\ -2$$

Question 9

Solve by factoring $$36x^2-25\ =\ 0$$

Accepted Answer

$$x\ =\ \pm\frac{5}{6}$$

Answer

$$x\ =\ \pm\frac{6}{5}$$

Answer

$$x\ =\frac{5}{6}\ ,\ x=\frac{-6}{5}$$

Answer

$$x\ =-\frac{5}{6},\ x=\frac{6}{5}$$

Question 10

Use the Zero Product Property to find the solutions to

$$2x\left(x-8\right)\left(7x+5\right)$$

Check ALL that apply

Accepted Answer

x = 0

Accepted Answer

x = -5/7

Accepted Answer

x = 8

Answer

x = -8

Answer

x = 7/5

Factoring Quadratics Quiz Review

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