Question

4. If the polynomial 2x3 + ax2 + 7x - 6 is exactly divisible by (2x - 1), then find the value of
a. Hence, factorise the polynomial
that muhim mamomile.​

Answer 1

Answer:

a=9

(2x-1)(x+2)(x+3)

Step-by-step explanation:

Since 2x-1 is a factor of Polynomial, x=1/2 will satisfy the polynomial.

=> 2(0.5)³+a(0.5)²+7(0.5)-6=0

=>a(0.25)-2.25=0

=>a=9

Now, polynomial is 2x³+9x²+7x-6

one factor is 2x-1

so dividing polynomial by 2x-1=>x²+5x+6

Factors of x²+5x+6= (x+2)(x+3)