Find the value of $a$ $a$ when $x^{3} + a x^{2} + 3 x + 1$ $x^3+ax^2+3x+1$ is divided by $x + 3$ $x+3$ and the remainder is $- 2$ $-2$ . Help, Please?

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Find the value of $a$ $a$ when $x^{3} + a x^{2} + 3 x + 1$ $x^3+ax^2+3x+1$ is divided by $x + 3$ $x+3$ and the remainder is $- 2$ $-2$ . Help, Please?

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Answer 1 · 2018-03-28T16:33:37

The value of $a$ $a$ is $\frac{11}{3}$ $11/3$ .

Explanation:

By the remainder theorem, we have:

${(- 3)}^{3} + a {(- 3)}^{2} + 3 (- 3) + 1 = - 2$ $(-3)^3 + a(-3)^2 + 3(-3) + 1 = -2$

$- 27 + 9 a - 9 + 1 = - 2$ $-27 + 9a - 9 + 1 = -2$

$9 a = 33$ $9a = 33$

$a = \frac{11}{3}$ $a = 11/3$

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Find the value of $a$ $a$ when $x^{3} + a x^{2} + 3 x + 1$ $x^3+ax^2+3x+1$ is divided by $x + 3$ $x+3$ and the remainder is $- 2$ $-2$ . Help, Please?

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Find the value of $a$ $a$ when $x^{3} + a x^{2} + 3 x + 1$ $x^3+ax^2+3x+1$ is divided by $x + 3$ $x+3$ and the remainder is $- 2$ $-2$ . Help, Please?