Math, asked by divishagora3458, 10 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

Oncology is a branch of medicine that deals with the prevention, diagnosis, and treatment of cancer. A medical professional who practices oncology is an oncologist. The name's etymological origin is the Greek word ὄγκος, meaning 1. "burden, volume, mass" and 2. "barb", and the Greek word λόγος, meaning "study".

Similar questions