Question

find the value of a and b so that
$8 {x}^{4} + 14 {x}^{3} - 2 {x}^{2} + ax + b$
is exactly divisible by
$4 {x}^{2} + 3x - 2$


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Answer 1

$\huge\star{\green{\underline{\mathfrak{Answer :-}}}}$

a = -7

b=2

$\huge\star{\green{\underline{\mathfrak{Explanation :-}}}}$

Division shown in the attached photo.

Reminder = $(7+a)x+(b-2)$

As in the question, it is given that the Polynomial given is completely divisible.

So, the r (x)=0

Therefore,

$(7+a)x+(b-2)=0$

So, $(7+a)x=0$ and $(b-2)=0$

Therefore , the values of a and b are (-7) and 2 respectively.

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