Expert Answer to "How do you factor 2x2−x−3 ?"

pierdoodsu

Answered question

2021-12-17

How do you factor

2 x^{2} - x - 3

Annie Gonzalez

Beginner2021-12-18Added 41 answers

2 x^{2} - x - 3 = (2 x - 3) (x + 1)

since it is

2 x^{2}

in one of the brackets there must be a x with coefficient 2

(2 x \dots) (x \dots)

next think how 3, 2, 1 (coefficients of

(x^{2}, x and x^{0}

respectively) relate to each other (using addition and subtraction)

3 - 2 = 1

what makes 3 and 2 and 1? using multiplication

3 \cdot 1 = 3

2 \cdot 1 = 2

Now we have clearer idea on what to do

(2 x - 3) (x + 1)

there you go
If you are having difficulties to factorise (provided that the equation is factorisable), don't frustrate. You just need more practices.

Medicim6

Beginner2021-12-19Added 33 answers

Explanation:

2 x^{2} - x - 3

= 2 x^{2} - 3 x + 2 x - 3

= x (2 x - 3) + 1 (2 x - 3)

= (x + 1) (2 x - 3)

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