Question

question 14 (multiple choice worth 5 points) (03.01r ) what is the remainder when (2x³ + 4x² - 32x + 18) ÷ (x + 3)? 2 12 96 110

Explanation:

Step1: Apply Remainder Theorem

The Remainder Theorem states that the remainder of a polynomial \( f(x) \) divided by \( (x - a) \) is \( f(a) \). For \( (x + 3) \), we have \( a = -3 \) (since \( x + 3 = x - (-3) \)). So we need to find \( f(-3) \) where \( f(x)=2x^{3}+4x^{2}-32x + 18 \).

Step2: Substitute \( x=-3 \) into \( f(x) \)

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Answer:

96