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24-06-2020
Mathematics

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Use the grouping method to factor this polynomial.
x^3 + 2x^2 +7x+14
A. (x2 +2)(x+7)
B. (x2+8)(x + 2)
C. (x2 + 2)(x+8)
D. (x2 +7)(x+2)

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jimrgrant1 jimrgrant1

24-06-2020

Answer:

D

Step-by-step explanation:

Given

x³ + 2x² + 7x + 14 ( factor the first/second and third/fourth terms )

= x²(x + 2) + 7(x + 2) ← factor out (x + 2) from each term

= (x² + 7)(x + 2) → D

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