Factoring and Finding Roots

Practice Questions

SAT Subject Test in Math II › Factoring and Finding Roots

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1

Give the set of all real solutions of the equation $2x^{4} - 13x^{2} +21 = 0$ .

2

A cubic polynomial with rational coefficients whose lead term is $x^{3}$ has and as two of its zeroes. Which of the following is this polynomial?

3

Which of the following values of would not make

$9t^{2}+N$

a prime polynomial?

4

Define functions and $q (x) = 5^{x}$ .

for exactly one value of on the interval . Which of the following is true of ?

5

Define a function $f(x) = x^{2} - \cos 4x$ .

for exactly one positive value of ; this is on the interval . Which of the following is true of ?

6

A polynomial of degree 4 has as its lead term $x^{4}$ and has rational coefficients. One of its zeroes is ; this zero has multiplicity two.

Which of the following is this polynomial?

7

What is a possible root to ?

8

Which of the following polynomials has $x^{2} - 1$ as a factor?

9

A polynomial of degree 4 has as its lead term $x^{4}$ and has rational coefficients. Two of its zeroes are and What is this polynomial?

10

Which of the following could be a solution for the equation ?

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