How do you factor #6c^2 -10c-4#?

Answer 1

#6c^2-10c-4) = (2)(3c+1)(c-2)#

#6c^2-10c-4# extract the obvious common constant factor of #2# #color(white)("XXXX")##=2(3c^2-5c-2)# we are looking for factors of 3 (only obvious ones are 1 and 3) and factors of 2 (again only 1 and 2 are obvious) that can be arranged as two pairs (one factor from each set) which hs a difference of -5 #color(white)("XXXX")##=2(3c+1)(c-2)#
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Answer 2

To factor the polynomial 6c^2 - 10c - 4, you can use the method of factoring by grouping:

  1. First, find two numbers that multiply to give you (6 * -4) = -24 and add to give you -10 (the coefficient of the middle term). These numbers are -12 and 2.

  2. Rewrite the middle term (-10c) using the two numbers found in step 1: 6c^2 - 12c + 2c - 4

  3. Factor by grouping: (6c^2 - 12c) + (2c - 4)

  4. Factor out the greatest common factor from each pair of terms: 6c(c - 2) + 2(c - 2)

  5. Notice that (c - 2) is a common factor, so factor it out: (6c + 2)(c - 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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