Question

6x^2+13x-5 . factorise it

Answer 1

 6x^2+13x-5 | Mathway

For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite the middle term as a sum of two terms whose product is a⋅c=6⋅−5=−30 a ⋅ c = 6 ⋅ - 5 = - 30 and whose sum is b=13 . Factor 13 13 out of 13x 13 x . Factor out the greatest common factor from each group.

Answer 2

Answer:

Hence, the values of

x = 1/3 , -5/2

Step-by-step explanation:

Given,

P(x) = 6x^2 + 13 - 5

By using the splitting the middle term method, we get,

=> 6x^2 - 2x + 15x - 5 = 0

=> 2x(3x - 1) + 5(3x - 1) = 0

=> (2x + 5)(3x - 1) = 0

Here, either (2x + 5) = 0 or (3x - 1) = 0

For the values of x,

(2x + 5) = 0

=> 2x = -5

=> x = -5/2

(3x - 1) = 0

=> 3x = 1

=> x = 1/3

Hence, the values of

x = 1/3 , -5/2