Is (x-1) a factor of 3x^2 + 7x - 10? | vedclass

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(A) To determine if $(x-1)$ is a factor of the polynomial $p(x) = 3x^2 + 7x - 10$,we use the Factor Theorem.According to the Factor Theorem,$(x-a)$ is

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Yes

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(A) To determine if $(x-1)$ is a factor of the polynomial $p(x) = 3x^2 + 7x - 10$,we use the Factor Theorem.According to the Factor Theorem,$(x-a)$ is a factor of $p(x)$ if $p(a) = 0$.Here,$a = 1$.Substitute $x = 1$ into the polynomial:$p(1) = 3(1)^2 + 7(1) - 10$$p(1) = 3(1) + 7 - 10$$p(1) = 3 + 7 - 10$$p(1) = 10 - 10 = 0$.Since $p(1) = 0$,$(x-1)$ is indeed a factor of $3x^2 + 7x - 10$.

Is $(x-1)$ a factor of $3x^2 + 7x - 10$?

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