Question

using remainder theorem find the remainder when p(x)=x^3+4x^2+5x+7 is dividends by x+3​

Answer 1

Answer:

Step-by-step explanation:

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 ) .

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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