How to factor a polynomial

Practice Questions

PSAT Math › How to factor a polynomial

Questions

8

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

What is a possible value for x in x2 – 12x + 36 = 0 ?

4

Completely factor the following expression:

5

How many of the following are prime factors of the polynomial $n^{4} +50n^{2} +625$ ?

(A)

(B) $n^{2} + 25$

(C) $n^{2} + 5n + 25$

(D) $n^{3} + 125$

6

2x + 3y = 5a + 2b (1)

3x + 2y = 4a – b (2)

Express x2 – y2 in terms of a and b

7

Solve for $x$ :

$2x^2-4=3 +5$

8

How many negative solutions are there to the equation below?

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