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How do you factor completely #3x^2 - 9x - 30#?

Answer 1

Genesis Allen

Divide the whole equation by 3 to simplify:

#3x^2-9x-30=x^2-3x-10#

Find factors of #10# : #1,2,5,10#): #2# and #5# work to make #10# and #3#

Therefore,

#(x+2)(x-5)#

Do not forget to add the three back!

#3((x+2)(x-5))#

So you would multiply out the brackets first, then the result should be #x^2-3x-10#. Multiply all factors out with #3# and this should give you #3x^2-9x-30#

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Answer 2

Eva Abramson

To factor completely (3x^2 - 9x - 30), first factor out the greatest common factor, which is 3. Then, factor the quadratic expression (x^2 - 3x - 10). The factored form is (3(x - 5)(x + 2)).

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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.