Question

find whether 2x-3 is a zero of the polynomial 2x² - 9 X² + X + 12​

Answer 1

It may be like this,

Let p(x) = 2x³-9x²+x+12

If (2x-3) is a zero of p(x) then

p(3/2) = 0.

p(3/2)=2(3/2)³-9(3/2)²+(3/2)+12

= 27/4-81/4+3/2+12

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

= (81-81)/4

= 0

Therefore,

(2x-3) is a zero of given

polynomial p(x)

••••