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 multiple

Step-by-step explanation:

To find the multiple of any number use factor or remainder theorem

According to the factor or remainder theorem when any number p( x ) = 2x³-9x²+x+12 is divided by f( x ) then the value of x is 3/2 p(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+3/2+12 = -54/4+3+24/2 = -54/4+27/2

-54+54/2 =0/2 =0

As we are remainder as zero then the factor or multiple of p(x) is true

Answer 2

Answer:

Yes it is

Step-by-step explanation:

To find the multiple of any number use factor or remainder theorem

According to the factor or remainder theorem when any number p( x ) = 2x³-9x²+x+12 is divided by f( x ) then the value of x is 3/2 p(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+3/2+12 = -54/4+3+24/2 = -54/4+27/2

-54+54/2 =0/2 =0