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If x^3+x^2+ax+b is divisible by x^2-x .find a and. b

Posted by Kunal Nawariya 6 years, 2 months ago

CBSE > Class 10 > Mathematics

3 answers

Aadya Singh ? 6 years, 2 months ago

x^2-x => x(x-1) are the factor of x^3+x^2+ax+b . Hence, 0 and 1 are the factor of x^3+x^2+ax+b . Put x=0 , we get, (0)^3 + (0)^2 + a×0 + b =0 => b= 0 . Put x = 1 , we get, (1)^3 + (1)^2 + a×1+ b = 0 => 1+1+a+0 = 0 ( after putting b=0) => 2+a=0 => a = -2.

1Thank You

Kunal Nawariya 6 years, 2 months ago

Give me full process

1Thank You

Aadya Singh ? 6 years, 2 months ago

a = 2 and b = 0

5Thank You

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