If f(x) is divided by g(x), it gives quotient as q(x) and remainder as r(x). Then, f(x)=q(x)×g(x)+r(x) where, f(x) is the dividend, q(x) is the quotient, g(x) is the divisor and r(x) is the remainder.

If f(x) is divided by g(x), it gives quotient as q(x) and remainder as r(x). Then, f(x)=q(x)×g(x)+r(x) where, f(x) is the dividend, q(x) is the quotient, g(x) is the divisor and r(x) is the remainder. Correct Answer True

Consider, f(x) is 27x2-39x, q(x) as 9x+2, g(x) as 3x-5 and remainder is 10. f(x)=q(x)×g(x)+r(x) RHS q(x)×g(x)+r(x)=(9x+2)(3x-5)+10=27x2-45x+6x-10+10=27x2-39x, which is equal to LHS. Hence proved.
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