Question

Find the value of k, if x – 1 is a factor of 4x3 + 3x2 - 4x + k.​

Answer 1

Step-by-step explanation:

$4 {x}^{3} + 3 {x}^{2} - 4x + k \\ = > 4 \times( - 1)^{3} + 3 \times { (- 1)}^{2} - 4 \times ( - 1) + k = 0 \\ = > - 4 + 3 + 4 + k = 0 \\ = > 3 + k = 0 \\ = > k = - 3$

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Answer 2

$\huge \boxed{ \fcolorbox{cyan}{red}{Ansswer : }}$

$\bf{ \huge{ \boxed{ \underline{ \red{ \tt{ - 3 \: }}}}}}}$

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$\huge \bf \underline{Question}$

⟹Find the value of k, if x – 1 is a factor of 4x3 + 3x2 - 4x + k.

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$\huge \bf \underline{To \: find}$

value of k

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Step by step explanation:

Given: x - 1

then

$\sf{x = 1}$

$\rm \red{p(x)⟹4 {x}^{3} + 3 {x}^{2} - 4x + k = 0}$

$\rm \blue{⟹p(1) = 4( {1}^{3}) + 3( {1}^{2}) - 4(1) + k = 0}$

$\rm \pink{⟹ \: = 4 + 3 - 4 + k = 0}$

$\rm \orange{⟹ \: = 7 - 4 + k = 0}$

$\rm \red{⟹ \: = 3 + k = 0}$

$\rm \blue{⟹ \: = k = - 3}$

value of k is -3