How do you solve #3x^2 - 6x - 24 = 0# by factoring?

Answer 1

#x=-2 or x=4#

Use factorizing of trinomial to write the expression as

#(3x+6)(x-4)=0#

This is now a product of 2 factors equal to zero so the only way this can be so is if either factor is zero.

#3x+6=0=>x=-2#
#x-4=0=>x=4#
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Answer 2

To solve the quadratic equation 3x^2 - 6x - 24 = 0 by factoring, first, factor out the greatest common factor, which is 3. This yields 3(x^2 - 2x - 8) = 0. Then, factor the quadratic expression inside the parentheses. The factored form is 3(x - 4)(x + 2) = 0. Finally, set each factor equal to zero and solve for x. So, x - 4 = 0 or x + 2 = 0, giving x = 4 or x = -2. Therefore, the solutions are x = 4 and 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.

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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