Question

If f(x)=x^3+x^2-ax+b is divisible by x^2-x. write the value of a and b.​

Answer 1

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Answer 2

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neetanarain25

Secondary SchoolMath 8+4 pts

If x3+x2-ax+b is divisible by x2-x find the value of a and b.

Report by Ishanand2002 16.07.2017

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Hi Friend,

Here is your answer,

x³ + x² -ax + b is divisible by x² - x or x(x -1)

x and (x -1) they are the factors of x³ + x² -ax + b .

.0 and 1 they are the zeros of x³ + x² -ax + b.

PUTTING x = 0

(0)³ + (0)² -a(0) + b = 0 = b = 0

putting x = 1

(1)³ + (1)² - a(1) + b = 0

1 + 1 - a + b = 0

2 - a + 0 = 0

a = 2

HERE IS YOUR ANSWER, a = 2 and b = 0

Hope it helps you!