Question

question
factor completely.
3x² - 16x + 5
answer attempt 1 out of 2
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Explanation:

Step1: Find product of leading & constant terms

$3 \times 5 = 15$

Step2: Identify pair summing to -16

We need two numbers that multiply to 15 and add to -16: $-1$ and $-15$.

Step3: Split middle term

$3x^2 -15x -x +5$

Step4: Factor by grouping

$$\begin{align} &3x(x - 5) -1(x - 5)\\ &=(3x - 1)(x - 5) \end{align}$$

Answer:

$(3x - 1)(x - 5)$