SOLUTION: when a polynomial f(x) is divided by (x-3) the remainder is -9 and when divided by (2x-1), the remainder is -6. Find the remainder when f(x) is divided by (x-3)(2x-1)

SOLUTION: when a polynomial f(x) is divided by (x-3) the remainder is -9 and when divided by (2x-1), the remainder is -6. Find the remainder when f(x) is divided by (x-3)(2x-1)

Algebra.Com

Question 1040043: when a polynomial f(x) is divided by (x-3) the remainder is -9 and when divided by (2x-1), the remainder is -6. Find the remainder when f(x) is divided by (x-3)(2x-1)
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
One polynomial satisfying the two conditions is . In this case the remainder is :
.
RELATED QUESTIONS
When a polynomial f(x) is divided by x-3 the remainder is -9 and when divided by 2x-1 the (answered by MathLover1,ikleyn)

a polynomial f(x) with rational coefficients leaves remainder 15 when divided by x-3 and... (answered by KMST)

Let f(x) be a polynomial such that f(0) = 4, f(1) = 6, and f(2) = -2. Find the remainder (answered by math_tutor2020)

When the polynomial F(x) of degree 3 is divided by x-1,the remainder is -1.When F(x) is... (answered by ikleyn)

Find the remainder when f(x) = 3x�-2x�+x-1 is divided by... (answered by Boreal,ikleyn)

A polynomial has a remainder of -6 and 4 when divided by (x+1) and (x-1) respectively.... (answered by ikleyn)

find a and b given that when x^3+2x^2+ax+6 is divided by x-1 the remainder is 4 and when... (answered by ikleyn)

find the remainder when polynomial 3x^100+5x^85-4x^38+2x^17-6 is divided by... (answered by stanbon)

When f(x)is divided by x-1, the remainder is -1; when it is divided by {{{x^2}}}, the... (answered by robertb)