Question

factorise 5x^2-3x-2=0​

Answer 1

Answer:

$5 {x}^{2} - 3x - 2 = 0 \\ = 5 {x}^{2} - 5x + 2x - 2 = 0 \\ = 5x(x - 1) + 2(x - 1) = 0 \\ = (x - 1)(5x + 2) = 0 \\ = x = 1 \: \: and \: \: \frac{ - 2}{5} \: \: answer$

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Answer 2

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 = $\dfrac{-2}{5}$ and 1.