Question

If polynominal p(y) is divided by (y²+2) can it have (y-1) as remainder

Answer 1

Answer:

YES OFCOURSE!!!!!

Step-by-step explanation:

DIVIDEND = p(y)

DIVISOR = (y²+2)

REMAINDER = (y-1)

WE KNOW THAT DEGREE OF DIVISOR IS ALWAYS GREATER THAN OR EQUAL TO THE DEGREE OF REMAINDER.

DEGREE OF DIVISOR = DEGREE OF (y²+2) = 2

DEGREE OF REMAINDER = DEGREE OF (y-1) = 1

=> DEGREE OF DIVISOR > DEGREE OF REMAINDER

FOR EXAMPLE YOU CAN TAKE ANY POLYNOMIAL q(x) AS QUOTIENT LIKE x, x², OR ANYTHING, THEN CALCULATE p(x) = (y²+2) × q(x) + (y-1)

IT'S PRETTY MUCH EASY, I THINK YOU CAN CLARIFY.

IF YOU CAN UNDERSTAND THEN MARK MY ANSWER AS BRAINLIEST ‍‍