Write each expression in factored form as an algebraic expression of a single trigonometric function.
-$$\sin ^ { 2 } x + \sin x - 2$$
A) $( \sin x + 2 ) ( \sin x - 1 )$
B) $( \sin x - 2 ) ( \sin x - 1 )$
C) $( \sin x - 2 ) ( \sin x + 1 )$
D) $( \sin x + 2 ) ( \sin x + 1 )$

Question

Quizplus · Accepted Answer

This expression can be factored similarly to a quadratic equation, treating $\sin x$ as the variable. The factors of -2 that add up to 1 (the coefficient of the middle term) are 2 and -1, leading to the factored form $( \sin x + 2 ) ( \sin x - 1 )$.

Write Each Expression in Factored Form as an Algebraic Expression sin⁡2x+sin⁡x−2\sin ^ { 2 } x + \sin x - 2sin2x+sinx−2

Write Each Expression in Factored Form as an Algebraic Expression $\sin ^ { 2 } x + \sin x - 2$