Question

f(x)=x^3-2x^2-5x+6 is divided by (x+2) By using remainder theorem​

Answer 1

Answer :

• Remainder => 0

To Find :

• The remainder if x³ - 2x² - 5x + 6 is divided by x + 2.

Step By Step Explanation :

Given that p(x) = x³ - 2x² - 5x + 6 and g(x) = x + 2

We need to find the remainder.

So let's do it !!

By using remainder theorem

$\sf \: g(x)\implies \: x + 2 = 0 \\ \\ \sf \: g(x) \implies x = - 2$

By substituting the value x = -2

$:\implies\sf {x}^{3} - 2 {x}^{2} - 5x + 6 \\ \\ \dag \bf \: Substituting \: the \: value \downarrow \\ \\ : \implies \sf { (- 2)}^{3} - 2 {( - 2)}^{2} - 5( - 2) + 6 \\ \\ :\implies\sf - 8 - 2(4) + 10 + 6 \\ \\ :\implies\sf - 8 - 8 + 10 + 6 \\ \\ :\implies\sf - 16 + 16\\ \\ :\implies\bf0$

Therefore remainder = 0.

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Answer 2

Answer:

Here is the solution

Step-by-step explanation:

Solve it in Remainder Theorem.