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CBSE Class 9 Answered

Find the remaindee when P(x)= x^3+4x^2+5x+7 is divided by x+3
Asked by thakuranushka888 | 09 May, 2019, 09:08: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight p left parenthesis straight x right parenthesis space equals space straight x cubed plus 4 straight x squared plus 5 straight x plus 7 space is space divided space by space straight x plus 3.

Zero space of space straight x space plus space 3 space is space straight x space plus space 3 space equals space 0 space rightwards double arrow space straight x space equals space minus 3

Substitute space straight x space equals space minus 3 space in space straight p left parenthesis straight x right parenthesis comma space we space get

straight x cubed plus 4 straight x squared plus 5 straight x plus 7 space space equals left parenthesis negative 3 right parenthesis cubed plus 4 left parenthesis negative 3 right parenthesis squared plus 5 left parenthesis negative 3 right parenthesis plus 7 space equals negative 27 space plus space 36 space minus space 15 space plus space 7 space space equals space 1

Therefore space the space remainder space is space 1.

end style
Answered by Yasmeen Khan | 10 May, 2019, 09:34: AM
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