Question

P(x) is a polynomial.

P(x) divided by (x + 7) has a remainder of 5.

P(x) divided by (x+3) has a remainder of -4.

P(x) divided by (x – 3) has a remainder of 6.

P(x) divided by (x – 7) has a remainder of 9.

Find the following values of P(x).

P(-3) =​

Answer 1

Answer:

oolow the process

for finding the remainder we need to use remainder theorom

let p(x)=x  

2

+2x+1

Here, the divisor is x+1 for dividend p(x), we need to equate it to 0 and put that value of x in p(x).

−x+1=0

∴x=−1

p(−1)=(−1)  

2

+2(−1)+1=0

Hence, remainder=0

Step-by-step explanation: