Question

 If a polynomial p(y) is divided by (y+2) , then which of the following can be the remainder? *

(a) y + 1

(b) 2y + 3

(c) 5

(d) y - 1​

Answer 1

Answer:

y+1 is a answers

pleas maka me as brainliest

Answer 2

Answer:

The correct answer is option(c)

Step-by-step explanation:

Given,

The polynomial p(y) is divided by (y+2)

By the division algorithm for polynomials we have,

If f(x) and g(x) are any two polynomials with g(x) ≠ 0, then we can find polynomials q(x) and r(x) such that,

f(x) = q(x) x g(x) +r(x), where r(x)  = 0 , or degree of r(x) < degree of g(x)

Here,

g(x) = y+2

Then, by division algorithm, the remainder is either 0, or degree of the remainder < degree of (y+2)

degree of (y+2) = 1

Then the degree of the remainder  = 0

That is, the remainder is a constant polynomial. Hence the possible remainder from the options is '5'.

∴ The correct answer is option(c).