Question

Q.8. * If x - 1 is the factor of a * x ^ 3 + x ^ 2 - 3x + 4a - 9 , find the value of a. 2 points​

Answer 1

Answer:

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Step-by-step explanation:

The value of a is 2

Let p(x)=ax 3 +x 2 −2x+4a−9

As (x+1) is a factor of p(x)

∴p(−1)=0 [By factor theorem]

⇒a(−1) 3 +(−1) 2 −2(−1)+4a−9=0

⇒a(−1)+1+2+4a−9=0

⇒−a+4a−6=0

⇒3a−6=0⇒3a=6⇒a=2