Question

Factorize :
a. 2tan²A+tanA-6
b. sin²θ.cosθ+sinθ.cos²θ

Answer 1

Below in bold.

Explanation:

a. 2tan²A + tanA - 6

= 2tan²A + 4tanA - 3tanA -6

= 2tanA(tanA + 2) - 3(tanA + 2)

= (2tanA - 3)(tanA + 2)

b. sin²θ.cosθ+sinθ.cos²θ

The GCF is sinθcosθ so the factors are:

sinθcosθ(sinθ + cosθ)