Question

Find the remainder when the function 203x%20%2B%204" id="TexFormula1" title="x^{3} + 2 {x}^{2} - 3x + 4" alt="x^{3} + 2 {x}^{2} - 3x + 4" align="absmiddle" class="latex-formula">
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Answer 1

Answer:

The correct answer is = 10

Explanation:

Given: $x^{3} + 2 {x}^{2} - 3x + 4$

Formula/Theorem using:

Remainder theorem = if the polynomial p(x) is divided by the binomial x-a then p(a) will be the remainder.

Solution:

using remainder theorem;

p(x) = $x^{3} + 2 {x}^{2} - 3x + 4$

divided by binomial x+2, then

p(-2) = $(-2)^{3} + 2 (-2)^{2} - 3(-2) + 4$

       = -8 + 8 + 6 + 4

       = 10