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)?
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DadsenaVarun:
what is 'k 'here
meaning of k
k is quotient ..
dividend = divisor × quotient + remqinder. .. for example 30÷4 .... we can write 30 = 4×7 + 2
remainder**
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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:
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