Question

Q4:Factorise: 6x2 + 5x - 6*
3 points
-3/2,2/3
O -2/3,3/2
O O O O
4/3,-4/3
None of these​

Answer 1

Answer

The correct option is (a) -3/2 , 2/3

Given

The quadratic polynomial is

• 6x² + 5x - 6

Solution

$\sf\longrightarrow 6x^{2} + 5x - 6 \\\\ \sf\longrightarrow 6x^{2} + 9x - 4x - 6 \\\\ \sf\longrightarrow 3x(2x + 3)-2(2x + 3) \\\\ \sf\longrightarrow (3x - 2)(2x +3)$

The zeroes of the polynomial are :

$\sf\implies 3x - 2 = 0 \: \: and \: \implies 2x + 3 = 0 \\\\ \sf\implies x = \dfrac{2}{3} \: \: and \: \implies x = - \dfrac{3}{2}$

Answer 2

GiveN :

• Quadratic equation is 6x² + 5x - 6

To FinD :

• Zeroes of equation

SolutioN :

⇒6x² + 5x - 6

Use method of splitting the middle term

⇒6x² + 9x - 4x - 6 = 0

⇒3x(2x + 3) - 2(2x + 3) = 0

⇒(3x - 2) (2x + 3) = 0

⇒x = 2/3 ㅤㅤand ㅤㅤㅤx = -3/2