Question

fine the value of K if (x-1) is the factor of 4xratio 3 + 3x ratio 2 - 4x + K​

Answer 1

Let P(x)=4x

Let P(x)=4x 3

Let P(x)=4x 3 +3x

Let P(x)=4x 3 +3x 2

Let P(x)=4x 3 +3x 2 −4x+k

Let P(x)=4x 3 +3x 2 −4x+kGiven, (x−1) is a factor of P(x)

Let P(x)=4x 3 +3x 2 −4x+kGiven, (x−1) is a factor of P(x)x−1=0

Let P(x)=4x 3 +3x 2 −4x+kGiven, (x−1) is a factor of P(x)x−1=0x=1∴ p(1)=4×(1)

Let P(x)=4x 3 +3x 2 −4x+kGiven, (x−1) is a factor of P(x)x−1=0x=1∴ p(1)=4×(1) 2

Let P(x)=4x 3 +3x 2 −4x+kGiven, (x−1) is a factor of P(x)x−1=0x=1∴ p(1)=4×(1) 2 +3×(1)

Let P(x)=4x 3 +3x 2 −4x+kGiven, (x−1) is a factor of P(x)x−1=0x=1∴ p(1)=4×(1) 2 +3×(1) 2

Let P(x)=4x 3 +3x 2 −4x+kGiven, (x−1) is a factor of P(x)x−1=0x=1∴ p(1)=4×(1) 2 +3×(1) 2 −4×(1)+k=0

Let P(x)=4x 3 +3x 2 −4x+kGiven, (x−1) is a factor of P(x)x−1=0x=1∴ p(1)=4×(1) 2 +3×(1) 2 −4×(1)+k=04+3−4+k=0

Let P(x)=4x 3 +3x 2 −4x+kGiven, (x−1) is a factor of P(x)x−1=0x=1∴ p(1)=4×(1) 2 +3×(1) 2 −4×(1)+k=04+3−4+k=0k+3=0

Let P(x)=4x 3 +3x 2 −4x+kGiven, (x−1) is a factor of P(x)x−1=0x=1∴ p(1)=4×(1) 2 +3×(1) 2 −4×(1)+k=04+3−4+k=0k+3=0k=−3

Let P(x)=4x 3 +3x 2 −4x+kGiven, (x−1) is a factor of P(x)x−1=0x=1∴ p(1)=4×(1) 2 +3×(1) 2 −4×(1)+k=04+3−4+k=0k+3=0k=−3Hence, the value of k is −3

Let P(x)=4x 3 +3x 2 −4x+kGiven, (x−1) is a factor of P(x)x−1=0x=1∴ p(1)=4×(1) 2 +3×(1) 2 −4×(1)+k=04+3−4+k=0k+3=0k=−3Hence, the value of k is −3