Question

please give me answer of question 5 .
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Answer 1

Step-by-step explanation:

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Answer 2

$\Huge{\underline{\green{\mathfrak{Ans}}{\mathfrak{wer}}}}$

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$\LARGE{\red{\bigstar}} {\underline{\orange{\sf{Given :}}}}$

(x - 1) is a factor of polynomial 4x³ + 3x² - 4k + k.

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$\LARGE{\red{\bigstar}} {\underline{\orange{\sf{To \: Find :}}}}$

We have to find the value of k.

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$\LARGE{\red{\bigstar}} {\underline{\orange{\sf{Solution :}}}}$

As, it is given that (x - 1) is a factor of polynomial 4x³ + 3x² - 4k + k.

(So, put value of x as 1.)

$\sf{→ 4(1)^3 + 3(1)^2 - 4k + k = 0} \\ \\ \sf{→ 4 + 3 - 4k + k = 0} \\ \\ \sf{→ 7 - 3k = 0} \\ \\ \sf{→7 = 3k} \\ \\ \sf{→k = \frac{7}{3}}$

$\Large{\implies{\boxed{\sf{\therefore Value \: of \: k \: is \: \frac{7}{3}.}}}}$