Factor.
-$$\mathrm { t } ^ { 2 } + 0.2 \mathrm { t } - 0.24$$
A) $( t + 0.24 ) ( t - 1 )$
B) $( t + 0.6 ) ( t - 0.4 )$
C) $( t - 0.6 ) ( t + 0.4 )$
D) $( t + 0.1 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

To factor this quadratic, we need to find two numbers whose product is -0.24 and whose sum is 0.2. By trial and error or using the quadratic formula, we find that these numbers are 0.6 and -0.4. Therefore, we can factor as follows:

$$\mathrm { t } ^ { 2 } + 0.2 \mathrm { t } - 0.24 = ( t + 0.6 ) ( t - 0.4 ) $$

None of the other answer choices produce the desired result when multiplied out.

Factor - t2+0.2t−0.24\mathrm { t } ^ { 2 } + 0.2 \mathrm { t } - 0.24t2+0.2t−0.24

Factor
- $\mathrm { t } ^ { 2 } + 0.2 \mathrm { t } - 0.24$