when a polynomial p(x) is divided by (2x+1), is
is it possible to have (x-1) as a remainder.Justify
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Answer:
YES OFCOURSE!!!!!
Step-by-step explanation:
DIVIDEND = p(x)
DIVISOR = 2x+1
REMAINDER = x-1
WE KNOW THAT DEGREE OF DIVISOR IS ALWAYS GREATER THAN OR EQUAL TO THE DEGREE OF REMAINDER.
IN THE CASE YOU HAVE SELECTED,
DEGREE OF DIVISOR = DEGREE OF 2x+1 = 1
DEGREE OF REMAINDER = DEGREE OF x-1 = 1
=> DEGREE OF DIVISOR = DEGREE OF REMAINDER = 1
FOR EXAMPLE YOU CAN TAKE ANY POLYNOMIAL q(x) AS QUOTIENT LIKE x, x² OR ANYTHING, THEN CALCULATE p(x) = (2x+1) × q(x) + (x-1)
IF YOU CAN UNDERSTAND MY SOLUTION, THEN MARK MY ANSWER AS BRAINLIEST .
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