Question

2x2+11x+12 factorise

Answer 1

This sum shall also be solved by the universal equation of quadratic equation.

Answer 2

Answer:

The factors of the equation are -3/2 and -4.

Step-by-step explanation:

Given:

2x² + 11x + 12 = 0

To find:

Factorize the given quadratic equation.

Solution:

The factors of the given quadratic equation are as follows:

2x² + 11x + 12 = 0

2x² + 8x + 3x + 12 = 0 , as 8×3 = 2×12 = 24 and 8+3=11 which is the coefficient of x.

2x(x + 4) + 3(x + 4) = 0

(2x + 3) (x + 4) = 0

(2x + 3) = 0 OR (x + 4) = 0

x = -3/2 OR x = -4

Therefore, the factors of the given equation 2x² + 11x + 12 are -3/2 and -4.

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