1.

The polynomial (x), if the divisor is 5x^2, quotient is 2x+3, and remainder is 10x+20 is __________(a) 10x^3-15x^2-10x-20(b) -10x^3-15x^2+10x+20(c) 10x^3+15x^2+10x+20(d) -10x^3+15x^2+10x+20This question was posed to me in an interview.Asked question is from Division of Polynomial in section Polynomials of Mathematics – Class 10

Answer»

The CORRECT answer is (b) -10x^3-15x^2+10x+20

The explanation is: We KNOW that,

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.

f(x)=5x^2×(2x+3)+10x+20

f(x)=10x^3+15x^2+10x+20



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