Question which-

2.4 Equivalent Expressions - Simplifying polynomials
0:00

Which of the following is equivalent to the expression x to the fourth power, minus x squared, minus 6 ?

A.

open parenthesis, x squared plus 1, close parenthesis, times, open parenthesis, x squared minus 6, close parenthesis

B.

open parenthesis, x squared plus 2, close parenthesis, times, open parenthesis, x squared minus 3, close parenthesis

C.

open parenthesis, x squared plus 3, close parenthesis, times, open parenthesis, x squared minus 2, close parenthesis

D.

open parenthesis, x squared plus 6, close parenthesis, times, open parenthesis, x squared minus 1, close parenthesis

Which of the following is equivalent to the expression ?

Hard-difficulty · SAT Math · Equivalent Expressions — Simplifying polynomials. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice B is correct. The term x4 can be factored as x squared, times, x squared. Factoring –6 as 2 times negative 3 yields values that add to –1, the coefficient of x2 in the expression.

Choices A, C, and D are incorrect and may result from finding factors of –6 that don’t add to the coefficient of x2 in the original expression.