factor the basic trinomial:

3x^2 + 21x +30

1 answer

To factor the trinomial 3x^2 + 21x + 30, we first need to find the greatest common factor of all the terms, which is 3.

Dividing each term by 3, we get:
3x^2/3 + 21x/3 + 30/3
x^2 + 7x + 10

Now we need to factor the trinomial x^2 + 7x + 10. This can be factored into two binomials as:
(x + 5)(x + 2)

Therefore, the factored form of the trinomial 3x^2 + 21x + 30 is:
3(x + 5)(x + 2)
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