Question

a) Resolve into factors: a^ + 4a + 3
with steps​

Answer 1

EXPLANATION.

Quadratic equation.

⇒ a² + 4a + 3 = 0.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ a² + 3a + a + 3 = 0.

⇒ a(a + 3) + 1(a + 3) = 0.

⇒ (a + 1)(a + 3) = 0.

⇒ a = -1  and  a = -3.

                                                                                                                         

MORE INFORMATION.

Nature of the roots of the quadratic expression.

(1) = Real and different, 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.