Question

Find the value of k, if x-1 is a factor of p(x)=kx2- 3x+4. Find the remainder when it is divided by x+1​

Answer 1

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Answer 2

Answer:

k=-1, R=6

Step-by-step explanation:

x-1 is the factor of p(x), thus x-1=0 => x=1

p(x) = kx²-3x+4

p(1)= k(1)²-3(1)+4

= k+1

k+1=0 => k=-1

x+1=0 => x=-1

By synthetic division:

-1 | -1 -3 4

1 2

-1 -2 6

R=6