How to do the product and midterm method in factorisation easily
Answers
Answer:
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Step-by-step explanation:
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.
6x2 + 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 6x2 - 13x + 6
6x2 - 13 x + 6 ----->(1)
a.c = Product of 6 and 6 = 36
Factors of 36 = 2,18
= 3,12
= 4,9
Only the factors 4 and 9 gives 13-->(4 + 9)
For -13 , both the factors have negative sign. – 4 – 9 = - 13
Equation (1) ⇒ 6x 2 - 4x – 9x + 6
⇒2x ( 3x – 2 ) – 3 ( 3x – 2 )
⇒(3x – 2 ) ( 2x – 3) are the factors.