Factor the trinomial:2, x, squared, plus, 17, x, plus, 212x 2 +17x+21
Question
Factor the trinomial:2, x, squared, plus, 17, x, plus, 212x 2 +17x+21
Solution
To factor the trinomial 2x^2 + 17x + 21, we need to find two numbers that multiply to give 2*21 (or 42) and add up to 17.
Those two numbers are 14 and 3.
So, we can rewrite the trinomial as:
2x^2 + 14x + 3x + 21
Now, we can factor by grouping:
2x(x + 7) + 3(x + 7)
This gives us the factored form of the trinomial:
(2x + 3)(x + 7)
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