Question

Solve the following quadratic equation by factorization method.

3p² + 8p + 5 = 0

Answer 1

3p² + 8p + 5 = 0

∴ 3p² + 5p + 3p + 5 = 0

∴ p(3p + 5) + 1(3p + 5) = 0   ...`[(15 = 5; 3),(5 xx 3 = 15),(5 + 3 = 8)]`

∴ (3p + 5) (p + 1) = 0

By using the property, if the product of two numbers is zero, then at least one of them is zero, we get

3p + 5 = 0 or p + 1 = 0

∴ 3p = –5 or p = –1

∴ p = `(-5)/3` or p = –1

∴ The roots of the given quadratic equation are `(-5)/3` and –1.