Question

3x^+5x+2=0

A Write the factored form of the trinomial.
B what are the roots of the equation?
SOS

Answer 1

`\\ \tt\hookrightarrow 3x^2+5x+2=0`

• Split the middle term

`\\ \tt\hookrightarrow 3x^2+3x+2x+2=0`

• Take commons

`\\ \tt\hookrightarrow 3x(x+1)+2(x+1)=0`

`\\ \tt\hookrightarrow (3x+2)(x+1)=0`

`\\ \tt\hookrightarrow x=(-2)/(3)\:or\:x=-1`

Answer 2

• See below

Explanation:

Given equation:

• 3x² + 5x + 2 = 0

Factorize it in steps:

• 3x² + 5x + 2 = 0
• 3x² + 3x + 2x + 2 = 0
• 3x(x + 1) + 2(x + 1) = 0
• (x + 1)(3x + 2) = 0

The roots are:

• x + 1 = 0 ⇒ x = - 1
• 3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - 2/3