Question

Factories 3m square+10m+8

Answer 1

EXPLANATION.

Quadratic equation.

⇒ 3m² + 10m + 8.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ 3m² + 6m + 4m + 8 = 0.

⇒ 3m(m + 2) + 4(m + 2) = 0.

⇒ (3m + 4)(m + 2) = 0.

⇒ m = -4/3  and  m = -2.

                                                                                                                     

MORE INFORMATION.

Nature of the roots of the quadratic expression.

(1) = Real and unequal, if b² - 4ac > 0.

(2) = Rational and different, if b² - 4ac is a perfect square.

(3) = Real and equal, if b² - 4ac = 0.

(4) = If D < 0 Roots are imaginary and unequal Or complex conjugate.