Question

Q8.Check whether polynomial p(x) = 2x3 – 9x2 +x+12 is a multiple of 2x-3 or not?

Answer 1

Answer:

$yes \: it \: is \: a \: multiple$

please mark me as brainliest

Answer 2

Answer:

Step-by-step explanation:

$\huge\red\boxed{ANSWER}$

→GIVEN :

⇒p(x)=2x^3-9x^2+x+12

⇒  2x-3=0

  2x=3

  x=3/2

⇒sub in the polynomial

 p(3/2)=2(3/2)^3-9(3/2)^2+3/2+12

⇒p(3/2)=2(27/8)-9(9/4)+3/2+12

⇒p(3/2)=27/4-9/2+3/2+12

⇒p(3/2)= $\frac{27-18+6+48}{4}$

⇒p(3/2)=0

∴ it is a multiple