Question

Find the factors of 2x²+7x+6​

Answer 1

The solutions are

x=32

x=2

Explanation:

2x2−7x+6=0

We can Split the Middle Term of this expression to factorise it and thereby find solutions.

In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:

N1⋅N2=a⋅c=2⋅6=12

AND

N1+N2=b=−7

After trying out a few numbers we get N1=−3 and N2=−4

−3⋅−4=12, and −3+(−4)=−7

2x2−7x+6=0=2x2−4x−3x+6

2x(x−2)−3(x−2)=0

(2x−3)(x−2)=0

Now we equate the factors to zero and obtain solutions.

2x−3=0,x=32

x−2=0,

Answer 2

Step-by-step explanation:

2x^2 + (4+3) x + 6

2x^2 + 4x + 3x + 6

2x (x +2) + 3 (x+2)

(2x + 3) (x + 2)

Either x = -3/2 or x = -2