Question

Check whether (2x - 3) is a factor of 2x³ - 9x² + x + 12​

Answer 1

Answer :

• Yes, It is a factor of the expression.

Explanation :

Polynomial : 2x³ - 9x² + x + 12.

Factor of Polynomial : (2x - 3).

What to do?

We have to check whether (2x - 3) is a factor of 2x³ - 9x² + x + 12 or not.

Solution :

Let's Begin.

Use Factor Theorem here.

➛ 2x - 3 = 0.

➛ 2x = 3.

➛ x = 3/2.

Put the value of x in the expression.

⇒ 2x³ - 9x² + x + 12.

⇒ 2(3/2)³ - 9(3/2)² + 3/2 + 12.

⇒ 27/4 - 81/4 + 3/2 + 12/1.

⇒ (27 - 81 + 6 + 48)/4.

⇒ 0/4.

⇒ 0.

The Answer is 0.

So, It is a factor of this polynomial.