Question

Find the value of 'a' and 'b' , if x²-1 is a factor of ax³+x² -2x+b​

Answer 1

Answer:

Step-by-step explanation:

p(x)=ax^3+x^2+-2x+b

quotient:- kuch kuch

answer kuch kuch

diy

Answer 2

Step-by-step explanation:

x^2 -1 =0

=> x^2 = 1

=> x = 1

also x^3 =1 (1×1×1 = 1)

substituting this value in the polynomial we get:

a×(1)^3 +(1)^2 -2×1 + b =0

= a + 1 - 2 +b =0

=> a + -1 +b = 0

=> a + b = 1 ( transposing 1 to RHS)

Had the second equation being given, we would have got the values of a & b