23
lesson pretestMultiple Choice

Pretest

Question 23 • Algebra II

What is the product? open paren x to the 4th power close paren times open paren 3 x cubed minus 2 close paren times open paren 4 x squared plus 5 x close paren ?

Answer
A
12 x to the 9th power minus 10 x to the 5th power
B
12 x to the 24th power plus 15 x to the 12th power minus 8 x to the 8th power minus 10 x to the 4th power
C
12 x to the 9th power plus 15 x to the 8th power minus 8 x to the 6th power minus 10 x to the 5th power
D
12 x to the 24th power minus 10 x to the 4th power

Explanation

First multiply the two parentheses: (3x³ − 2)(4x² + 5x) = 12x⁵ + 15x⁴ − 8x² − 10x. Then multiply every term by x⁴, adding 4 to each exponent: 12x⁹ + 15x⁸ − 8x⁶ − 10x⁵. This matches choice B.

AI-written and checked against the verified answer.

Previous
Next