How do you factor the expression #3x^2 - 6x - 9#?

Answer 1

#=3(x+1)(x-3)#

#3x^2-6x-9# #=3(x^2-2x-3)# (taking out the common factor of 3) #=3(x+1)(x-3)# ("looking for factors of 3 to give -2")
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Answer 2

#x=3# and #x=-1#

All terms have a #3# in common, so we can factor this out. When we factor out a #3#, we are essentially dividing every term by #3#. We get:
#3(x^2-2x-3)=0#
Now, we can factor the inside, if we think of two numbers, when I add them, add up to #-2#, and those same two numbers have a product of #-3#.
#-3+1=2#, and #-3*1=-3#, therefore #-3# and #1# are our two factors. We get:
#3(x-3)(x+1)=0#

We can simplify this further by setting every term equal to zero and we get two solutions:

#x=3# and #x=-1#
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Answer 3

To factor the expression 3x^2 - 6x - 9, first, we look for a common factor among all terms, which is 3. Factoring out 3, we get:

3(x^2 - 2x - 3)

Now, we need to factor the quadratic expression inside the parentheses. We're looking for two numbers that multiply to -3 and add up to -2 (the coefficient of the x-term). These numbers are -3 and 1.

So, we can rewrite the expression as:

3(x - 3)(x + 1)

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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.

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.

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.

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.

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