Question

Find the value of k, if x-1 is a factor of P(x)=4x +3x-4x+k 6. Factorise 15y-By+1 7. Solve using suitable identity (2x-y+2) III. Solve the following: 3x2=6 8. Find the Quotient and Remainder when P(x)=4x +3x-2x+1 is divided by g(x)=x-2 9. Factorise (36/25)x'-(1/16)y
​

Answer 1

Let P(x)=4x

3

+3x

2

−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.