Math, asked by divishagora3458, 8 months ago

Show that 2x _ 3 is a factor of p (x) = x+ 2xcube _ 9xsquare +12

Answers

Answered by dorgan399
35

QUESTION:

Show that 2x _ 3 is a factor of p (x) = x+ 2xcube _ 9xsquare +12

ANSWER:

Q( x )=2x-3

P( x )=2x³-9x²+x+12

2x-3=0

=> 2x-3=0

=>2x=3

=>x=3/2

=>P( 3/2 ) =2(3/2)³-9(3/2)²+(3/2)+12

=2×27/8-9×9/4+3/2+12

=27/4-81/4+6/4+12

=(27-81+6+48)/4

=0/4

=0

AS THE REMAINDER BECOMES 0

SO THE Q(x) IS A FACTOR OF P(x)

Answered by Anonymous
4

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