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How do you factor #6x^2-15x-21#?

Answer 1

Avery Alexander

#(6x - 21)(x + 1)#

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Answer 2

Ethan Adkins

To factor (6x^2 - 15x - 21), you can use the quadratic factoring method or the quadratic formula. This expression can be factored as (3(2x^2 - 5x - 7)), and then further factored as (3(2x + 1)(x - 7)).

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Answer 3

Eva Adamson

To factor the quadratic expression (6x^2 - 15x - 21), you can follow these steps:

First, determine if there is a common factor among all the terms. In this case, all terms are divisible by 3, so you can factor out 3.
After factoring out 3, the expression becomes (3(2x^2 - 5x - 7)).
Now, factor the quadratic expression (2x^2 - 5x - 7). You can do this by using the quadratic formula, factoring by grouping, or trial and error.
Factoring (2x^2 - 5x - 7) yields ((2x + 1)(x - 7)).
Therefore, the factored form of (6x^2 - 15x - 21) is (3(2x + 1)(x - 7)).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.