Question

remainder when f(x)= x^4 + 3x^3- 2x^2 + x - 1 is divided by x+2​

Answer 1

Answer: Remainder is -3

Answer 2

$\huge\sf\pink{Answer}$

☞ Your Answer is -19

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$\huge\sf\blue{Given}$

✭ F(x) = x⁴+3x³-2x²+x-1 ÷ x+2

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$\huge\sf\gray{To \:Find}$

◈ The remainder

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$\huge\sf\purple{Steps}$

So here we shall use the Remainder Theorem

➝ $\sf x+2 = 0$

➝ $\sf x = -2$

Substituting the value of x in F(x)

➳ F(-2) = (-2)⁴+3(-2)³-2(-2)²+(-2)-1

➳ $\sf 16 + 3(-8) -2(4)-2-1$

➳ $\sf 16-24-8-2-1$

➳ $\sf \orange{Remainder = -19 }$

$\rule{170}3$