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Answer
Solution
Factor the expression
.
Factor the expression by following steps:
Factor the expression by following steps:
- step0: Factor:
- step1: Rewrite the expression:
- step2: Rewrite the expression:
- step3: Factor the expression:
- step4: Factor the expression:
The trinomialcan be factored completely as .
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Extra Insights
To factor the trinomial
, we need to find two numbers that multiply to 60 (the constant term) and add up to -23 (the coefficient of the middle term).
These two numbers are -20 and -3 because:
- (-20) + (-3) = -23
- (-20) * (-3) = 60
Thus, we can express the trinomial as:
So the factored form of the trinomial
is
.