Question

2x²-7x+6
STEP BY STEP FACTORIZATION

Answer 1

Answer:

√2x-7x+6

=√2x-4x-3x+6

=2x(x-2)-3(x-2)

=(x-2)(2x-3)

=x=2,x=3/2

Answer 2

The method used: Splitting the middle term

Given polynomial: 2X^2 - 7x + 6

Step 1: Sum and Product sides

The general form of a polynomial is ax^2 + bx + c

So, we need to find what factors of ac will add up to b.

Here,

• Sum = -7x = -3 -4
• Product = 2 x 6 = 12 = -3 x -4

Step 2: Substitution of values

2X^2 - 7x + 6 can be written as

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

= x(2x -3) -2(2x -3)

= (x-2)(2x-3)

Final answer: (x-2)(2x-3)