Question

if x square - 1 is a factor of x cube + x square -bx +4a -9 find a and b​

Answer 1

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Answer:

x²-1 is a factor of x³+x²-bx+4a-9

Step-by-step explanation:

Here, x²-1=0(let) if x is a zero.

x=±1

substituting x=+1;

(1)³+(1)²-b(1)+4a+9=0 {as,x²-1 is factor}

2-b+4a+9=0

4a-b+11=0.........(1)

substituting x=-1;

(-1)³+(-1)²-b(-1)+4a+9=0{as,x²-1 is factor}

-1+1+b+4a+9=0

4a+b+9=0..........(2)

solving (1) amd (2);

b=1 and, a=5/2