factorise using splitting the middle term 5x2 + 3x - 2
Answers
Answered by
1
Step-by-step explanation:
AnswEr:
Required Factors = (5x + 2)(x - 1)
SoluTion:
Given Polynomial :
5x² - 3x - 2 = 0
We've to factorise the given Polynomial.
Product = -10
Sum = -3
Factors = (-5,2)
By splitting middle term,
→ 5x² - 5x + 2x - 2 = 0
→ 5x (x - 1) +2 (x - 1) = 0
→ (5x + 2)(x - 1) = 0
We get
x= -2/5 and 1
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Answer
➜5x^2 + 3x - 2 = 0
➜5x^2 + (5 - 2) x - 2 = 0
➜5x^2 + 5x - 2x - 2 = 0
➜5x (x + 1) - 2 ( x + 1) = 0
➜(5x - 2)(x + 1) = 0
➜x = 2 / 5, x = 1
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