Question

In algebra how do you factorise 4x^2-14x+10

Answer 1

Answer:

answer for the given problem is given

Answer 2

Explanation:-

4x² - 14x + 10 = 0

step 1: if there is no. with x² like 4x² you should multiply the product 10

•°• 4 × 10 = 40 consider 40 as product.

step 2: Expand the middle term -14x = -10x - 4x

if sum contains -ive sign then = - -

if sum contains + sign then = + -

if sum and product contains - sign then = - +

This is rules to Expand

Step 3 :- 4x² -10x - 4x + 10 = 0 make pairs , find common variables as well as factor

=> 2x(2x - 5) - 2(2x - 5) =0

=> (2x - 2) (2x - x) = 0

step:- Write the values of x

=> (2x - 2) = 0 or (2x - 5) = 0

=> x = 1 or x = 5/2