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Multiplication of Monomials

If x+1 is a f...

Question

If x+1 is a factor of the polynomial $2 x^{2} + k x,$ then find the value of k.

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Solution

Since $x + 1$ is the factor
Remainder = $0$
$∴ k x - 2 x = 0$
$∴ k x = 2 x$
$∴ k = 2$

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