Question & Answer » Mathematics Questions » How do you factorise x^2 – 7x + 12

How do you factorise x^2 – 7x + 12

How do you factorise x² + 7x + 12? Step-by-step middle-term splitting for CBSE Class 9 and 10 Maths Polynomials chapter preparation.

Ans: According to the given equation, x^2 – 7x + 12 solutions are found by splitting the middle terms so that the sum of two times will be 7, and the product will be 12.

Considering the equation n such two number are 3 and 4, hence

x² – 7x + 12

x² – 3x – 4x + 12

x (x – 3) – 4 (x – 3)

Ans: (x – 3) (x – 4)

The solution is found by taking out the factors of 12 and adding them to -7. With this method, we get the digits -3 and -4. Hence, we get the solution (x – 3) (x – 4).