Question

If P(x) = 4x²-3x+2 x power 3+5 and q(x)= x²+2x+4. then find p(x) +q(X)
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Answer 1

Step-by-step explanation:

9th

Maths

Polynomials

Factorisation of Polynomial

The polynomials p(x) = 4x3 ...

MATHS

The polynomials p(x)=4x

3

−2x

2

+px+5and,q(x)=x

3

+6x

2

+p leave the remainders a and b respectively, when divided by (x+2). Find the value of p if a+b=0.

EASY

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ANSWER

Remainder theorem:

When we divide f(x) by (x−c) , the remainder f(c)

3

−2x

2

+px+5 is divided by (x+2), the remainder is

p(−2)=4(−2)

3

−2(−2)

2

+p(−2)+5

=−2p−35

So,

a=−2p−35

When q(x)=x

3

+6x

2

+p is divided by (x+2), the remainder is

q(−2)=(−2)

3

+6(−2)

2

+p

=p+16

So,

b=p+16

Now

a+b=0

−2p−35+p+16=0

−p−19=0

p=−19