If f(x) is divisible by g(x), then the "remainder" of a long division would equal zero.
The remainder after dividing f(x) by g(x) is
[(ab² - ac + b)x + c(ab - 1)]/(x² + bx + c)
For the numerator to equal zero, both terms in parentheses have to be equal to zero
ab² - ac + b = 0 and ab - 1 = 0
ab = 1.......(i)
CBSE Class 10 Answered
if the polynomial ax3+bx-c is divisible by x2+bx+c find the value of a and b
Asked by katyalaanchal | 31 May, 2011, 12:00: AM
Expert Answer
or a=1/b
ab² - ac + b = 0
ac = ab² + b
ab = 1...........(from (i))
ac = b + b = 2b
c=2b/a
c = 2b/(1/b).......substituting value of a
or c = 2b2
Answered by | 01 Jun, 2011, 04:57: PM
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