Question

(x-3) will be a factor of x^3+x^2-2x+4​

Answer 1

❥ $\huge\bold\green{\underline{Answer:}}$

$x-3 = 0$

$x=3$

$\rule{300}{3}$

If x=3 satisfies the given equation and gives 0 on substituting the value then it's a factor of the given equation.

$\rule{300}{3}$

${(3)}^{3}+{(3)}^{2}-2(3)+4$

$27+9-6+4$

$34$

Hence, x-3 it is not a factor of the given equation.

Hope it helps úh

Answer 2

$\Huge\mathcal\blue{\star{\underline{\underline{Answer}}}}$

$x-3 = 0$

$x = 3$

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If x-3 is a factor of the given equation then it will remain it's remainder as 0

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$\large{x^{3} + x^{2} -2x +4}$

$\large\mathbb\orange{Substituting\: the\: value}$

$(3)^{3} + (3)^{2} -2(3) +4$

$27 + 9 -6 + 4$

$34$

Hence, x-3 is not a factor of the given equation

Hope it helps úh