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5) 3x2 - 16x + 20
Factor the Trinomial

User Jim Morris
by
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1 Answer

3 votes

Answer:

(3x -10)(x -2)

Explanation:

You want to start by finding two factors of 3·20 = 60 that have a total of -16.

60 = (-1)(-60) = (-2)(-30) = (-3)(-20) = (-4)(-15) = (-5)(-12) = (-6)(-10)

The last of these factor pairs (-6, -10) have a total of -16, so these are what you need to rewrite the middle term:

3x² -6x -10x +20

Now, you can factor by pairs:

= 3x(x -2) -10(x -2)

= (3x -10)(x -2) . . . . your factored trinomial

User Madhan Ayyasamy
by
6.9k points