When the polynomial $2 x^{3} - a x^{2} + 9 x - 8$ is divided by $x - 3$ , the remainder is $28$ . Find the value of $a$ .

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Solution

The correct option is B
5

Let $p (x) = 2 x^{3} - a x^{2} + 9 x - 8$ , When $P (x)$ is divided by $x - 3$ , the remainder is $28$ .

Given $p (3) = 28$

$\Rightarrow 2 (3)^{3} - a (3)^{2} + 9 (3) - 8 = 28$

$\Rightarrow 54 - 9 a + 27 - 8 = 28$

$\Rightarrow - 9 a = 36 - 81 = - 45$

$a = \frac{- 45}{- 9} = 5$

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When the polynomial 2x3 − ax2 + 9x − 8 is divided by x − 3, the remainder is 28. Find the value of a.

The correct option is B 5 Let p(x) = 2x3 − ax2 + 9x − 8, When P(x) is divided by x − 3, the remainder is 28. Given p(3) = 28 ⇒ 2(3)3 − a(3)2 + 9(3) − 8 = 28 ⇒ 54 − 9a + 27 − 8 = 28 ⇒ −9a = 36 − 81 = −45 a = −45−9 = 5

When the polynomial $2 x^{3} - a x^{2} + 9 x - 8$ is divided by $x - 3$ , the remainder is $28$ . Find the value of $a$ .