Question

if (x-2) and (x+3) are factors of 23 - 4x² + kx -8 . Find k .
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Answer 1

Step-by-step explanation:

According to the Remainder theorem, when a polynomial p(x) is divided by (x−a), then the remainder is the value of p(x) at x=a

Here p(x)=3x

2

+kx+6

When it is divided by its factor (x+3),

Remainder is =p(−3)=0

3(−3)

2

+(−3)k+6=0

27−3k+6=0

33−3k=0

3k=33

k=11