show (x-3) is a factor of 2x3 +7x2-24x-45
Answers
Answered by
14
See the pic below
=======================
=======================
Attachments:
Answered by
56
Given polynomial,
2x³+7x²-24x-45
We have to prove that x-3 is a factor of the given polynomial.
x-3=0
x=3
Put x=3,
=2(3)³+7(3)²-24(3)-45
=2(27)+7(9)-72-45
=54+63-72-45
=117-117
=0
As the remainder is 0,x-3 is a factor of the given polynomial.
Hence proved
2x³+7x²-24x-45
We have to prove that x-3 is a factor of the given polynomial.
x-3=0
x=3
Put x=3,
=2(3)³+7(3)²-24(3)-45
=2(27)+7(9)-72-45
=54+63-72-45
=117-117
=0
As the remainder is 0,x-3 is a factor of the given polynomial.
Hence proved
Similar questions