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AssignmentMultiple Select

Synthetic Division and the Remainder Theorem

Question 5 • FL-1200330-Algebra 2 CR

Select all of the factors of x3 + 5x2 + 2x – 8.

Answer
A
x + 5
B
x – 3
C
x + 4
D
x – 1
E
x + 3
F
x + 2

Explanation

Substituting x = 1 gives 1 + 5 + 2 − 8 = 0, so x − 1 is a factor. Dividing the polynomial by x − 1 gives x² + 6x + 8, which factors as (x + 2)(x + 4). Therefore, the factors are x − 1, x + 2, and x + 4.

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