Question

if (x+1) is a factor of (4x^4+ 5x^3+2x^2+kx), what will be the value of k?

Answer 1

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(x+1) is a factor of (4x⁴+5x³+2x²+Kx)

x+1 = 0

x = 0-1

= -1

now we should put the value

:- 4(-1)⁴+5(-1)³+2(-1)²+k(x)

= -4 - 5 - 2 +k(-1)

= k = −6

#sagarthelegend

Answer 2

$\Large\mathtt\green{ }\huge\underline\mathtt\red{Answer : }$

Let P(x)=4x3+3x2−4x+k

Given,  

(x−1) is a factor of P(x)

x−1=0

x=1

∴ p(1)=4×(1)2+3×(1)2−4×(1)+k=0

4+3−4+k=0

k+3=0

k=−3

Hence, the value of k is −3.

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