25
QuizMultiple Choice

Polynomial Operations — Test

Question 25 • Algebra II

What expression is equivalent to open paren 5 z squared plus 3 z plus 2 close paren squared ?

Answer
A
25 z to the 4th power plus 30 z cubed plus 19 z squared plus 12 z plus 4
B
5 z to the 4th power plus 9 z squared plus 4
C
5 z to the 4th power plus 3 z squared plus 4
D
25 z to the 4th power plus 30 z cubed plus 29 z squared plus 12 z plus 4

Explanation

Square the trinomial by multiplying each term by every term: (5z² + 3z + 2)². The squared terms are 25z⁴, 9z², and 4; the cross terms are 30z³, 20z², and 12z. Combining like terms gives 25z⁴ + 30z³ + 29z² + 12z + 4, which is choice A.

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