Question

using remainder theorem find the remainder when p x is equals to x cube + 3 x square - 5 x + 4 is divided by x minus 2

Answer 1

I hope,  it helps you

Answer 2

$\huge{\mathcal{Hi\: there!}}$

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✪ Reminder theorem ✪

Let $p ( x )$ be a polynomial of degree 1 or more and let $\alpha$ be any real number . If $p ( x )$ is devided by $( x - \alpha )$ then reminder is $p ( \alpha )$.

✪ SOLUTION ✪

Let , x - 2 = 0.

Then, x = 2

Now,

P ( x ) = x³ + 3x² - 5x + 4

P ( 2 ) = 2³ + 3 × 2² - 5 × 2 + 4

P ( 2 ) = 8 + 12 - 10 + 4

P ( 2 ) = 24 - 10

P ( 2 ) = 14

Hence,

The reminder is 14.

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Thanks for the question !

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