Question

6x2+11x-10 factorise using formula method
pls tell me fast

Answer 1

We using splitting the middle term

• In this method splitting of middle term in to two factors.

• In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term.

How to apply

1. Write the polynomial in either ascending or descending order but it is always preferable to express the trinomial in descending order.
2. Find the product of first and last terms with their signs.
3. Try to split the middle term as either sum or difference of two terms but their product should be equal to the product of the first and last terms. Otherwise, it is not possible to factorize the trinomial.
4. Factorize the polynomial by grouping.

Solution

⇛ 6x² + 11x - 10

⇛ 6x² + 15x - 4x - 10

⇛ 3x ( 2x + 5 ) - 2 ( 2x + 5)

⇛ ( 3x - 2 ) ( 2x + 5 )