How to factor a polynomial

Practice Questions

SAT Math › How to factor a polynomial

Questions

9

1

If the polynomial

$x^{5} + x^{4} - x^{3} - x^{2}$

is divided by

,

what is the remainder?

2

Which of the following is a factor of the polynomial $x^{4} -6x ^{3} + 2x ^{2} - 3x - 54$ ?

3

If the polynomial

$x^{5} + x^{4} - x^{3} - x^{2}$

is divided by

,

what is the remainder?

4

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

5

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

6

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

7

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

3x + 2y = 4a – b (2)

Express x2 – y2 in terms of a and b

8

Solve for $x$ :

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

9

How many negative solutions are there to the equation below?

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