kalag9478
17.10.2020 •
Mathematics
3x² + 22x + 35
Factor the trinomial
Help guys asp!!
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Ответ:
(x + 5)(3x + 7)
Step-by-step explanation:
Given
3x² + 22x + 35
Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term
product = 3 × 35 = 105 and sum = 22
The factors are + 15 and + 7
Use these factors to split the x- term
= 3x² + 15x + 7x + 35 ( factor the first/second and third/fourth terms )
= 3x(x + 5) + 7(x + 5) ← factor out (x + 5) from each term
= (x + 5)(3x + 7) ← in factored form
Ответ: