Question

The facyorization of 6x2+11×+3is

Answer 1

Factorise the polynomial:

6x² + 11x + 3

For factorising the given polynomial we need to find a number which when

• Multiplied gives 6×3 = 18
• Added gives 11

➳ Here, factors of 18 are → 1, 2, 3, 6, 9, 18

From the factors above we can easily get to know that the required Numbers are 9 and 2

9 × 2 = 18 ; 9 + 2 = 11

➟ Now on splitting the middle term of the polynomial,

6x² + (9x + 2x) + 3

Now, let's group the first 2 terms separately and the last 2 terms separately.

⇒ (6x² + 9x) + (2x + 3)

Taking out 3x as a common factor from the first 2 terms,

⇒ 3x(2x + 3) + 1(2x + 3)

⇒ (3x + 1) (2x + 3)

Therefore the factors are

• 3x + 1
• 2x + 3