Choose the polynomial that has the given factor.
-$x+7$
A) $x^{3}+7 x^{2}-28$
B) $x^{2}+7 x+49$
C) $x^{2}-9 x+14$
D) $x^{3}+7 x^{2}-4 x-28$

Name: Choose the polynomial that has the given factor. -$x+7$ A) $x^{3}+7 x^{2}-28$ B) $x^{2}+7 x+49$ C) $x^{2}-9 x+14$ D) $x^{3}+7 x^{2}-4 x-28$
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Question

Quizplus · Accepted Answer

For a polynomial to have $x+7$ as a factor, when we substitute $x=-7$ into the polynomial, it should result in zero. Only option D satisfies this condition, as substituting $x=-7$ into $x^{3}+7 x^{2}-4 x-28$ gives $0$.

Choose the Polynomial That Has the Given Factor x+7x+7x+7 A) x3+7x2−28x^{3}+7 x^{2}-28x3+7x2−28

Choose the Polynomial That Has the Given Factor $x+7$ A) $x^{3}+7 x^{2}-28$