Factoring Polynomials

Practice Questions

PSAT Math › Factoring Polynomials

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1

Let and be integers, such that . If and , then what is ?

2

If r and t are constants and x2 +rx +6=(x+2)(x+t), what is the value of r?

3

Let and be integers, such that . If and , then what is ?

4

If r and t are constants and x2 +rx +6=(x+2)(x+t), what is the value of r?

5

Factor and simplify:

$\frac{64y^{2} - 16}{8y + 4}$

6

Factor and simplify:

$\frac{64y^{2} - 16}{8y + 4}$

7

Factor:

$-12x^2+27$

8

If $\dpi{100} \small \frac{x^{2}-9}{x+3}=5$ , and $\dpi{100} \small x eq -3$ , what is the value of $\dpi{100} \small x$ ?

9

When is factored, it can be written in the form , where , , , , , and are all integer constants, and .

What is the value of ?

10

Factor 9_x_2 + 12_x_ + 4.

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