Question

If a polynomial f(x) is divided by x^2-9 then remainder is 3x+2,What will be the remainder when the same polynomial is divided by (x-3)?

Answer 1

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Answer 2

Answer:

we can write x^2-9=(x+3)(x-3),if we divide the polynomial f(x) by (x+3) or by(x-3) the remainder will be 3x+2  but the value of remainder changes according to the value of x.

according to the remainder theorem if we divide a polynomial p(x) by (x-a) then the remainder will be p(a)

so,if f(x) is divided by (x-3) then the remainder will be f(3) which is 3x+2

now substitute the value of x in the equation

f(3)=3(3)+2

    =9+2

    =11

Step-by-step explanation: