Question

2x^2-5x+3 how can i factorise it?

Answer 1

Answer:

The expression 2x^2 - 5x + 3 has to be factorized.

2x^2 - 5x + 3

=> 2x^2 - 3x - 2x + 3

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

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

Answer 2

Answer:

(x+3)(2x−1)

Step-by-step explanation:

Here, we have used Middle Term Splitting Method

The standard form of the quadratic function is.

y=ax2+bx+c

To factorise the function.

• consider the factors of the product ac which sum to give b

for 2x2+5x−3

a=2,b=5 and c=−3

⇒ac=2×−3=−6

the required factors of -6 are +6 and −1

since 6×−1=−6 and +6−1=+5

now express 2x2+5x−3 as

2x2+6x−x−3

Factorize by 'grouping'

⇒2x(x+3)−1(x+3)

Take out common factor of (x+3)

⇒(x+3)(2x−1)← in factorized form

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