## factorise by spliting the middle term x raised to 2 + 9x +20

Question

factorise by spliting the middle term x raised to 2 + 9x +20

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4 weeks 2021-08-14T14:27:31+00:00 2 Answers 0 views 0

1. Step-by-step explanation:

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

To Factor the form :ax2 + bx + c

Factor : 6×2 + 19x + 10

1) Find the product of 1st and last term( a x c).

6 x 10 = 60

2) Find the factors of 60 in such way that

addition or subtraction of that factors is

the middle term (19x)(Splitting of middle term)

15 x 4 = 60

and 15 + 4 = 19

3) Write the center term using the sum of the

two new factors, including the proper signs.

6×2 + 15x + 4x + 10

4) Group the terms to form pairs – the first two

terms and the last two terms. Factor each pair by finding common factors.

3x ( 2x + 5)+ 2(2x + 5)

5) Factor out the shared (common) binomial parenthesis.

(3x + 2) ( 2x + 5)

Quadratic Factorization using Splitting of Middle Term

Example: Find the factors of 6×2 – 13x + 6

6×2 – 13 x + 6 —–>(1)

a.c = Product of 6 and 6 = 36