Question

If the polynomial f(x)=x4 -2x3+3x2 -9x+3a-7, when divided by x+1 leaves the remainder 20, then find the value of a. also find the remainder when f(x) is divided by x+2.c​

Answer 1

Answer:

Answer:

By both method remainder is same .i.e, 2

Step-by-step explanation:

Given Dividend = x^4+x^3-2x^2+x+1x

4

+x

3

−2x

2

+x+1

Divisor = x - 1

Long division is attached in pics.

remainder we get = 2

According to remainder theorem when a polynomial , p(x) is divided by a liner polynomial of form x - a then p(a) gives the value of remainder,

According to he remainder theorem,

p(x)=x^4+x^3-2x^2+x+1p(x)=x

4

+x

3

−2x

2

+x+1

Remainder = p(1) = 1^4+1^3-2\times1^2+1+11

4

+1

3

−2×1

2

+1+1 = 1 + 1 - 2 + 1 + 1 = 2

Therefore, By both method remainder is same .i.e, 2

Step-by-step explanation:

please make it a brainliest answer.

Answer 2

Step-by-step explanation:

If the polynomial f(x)=x4 -2x3+3x2 -9x+3a-7, when divided by x+1 leaves the remainder 19, then find the value of a. also find the remainder when f(x) is divided by x+2.

Refer to the above attachment