How do you factor the expression #14m^2 + 55m + 21 #?
(7m + 3)(2m + 7)
NOTE : This method avoids the lengthy factoring by grouping
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To factor the expression (14m^2 + 55m + 21), you can use the factoring by grouping method. Here's how you can do it:
- Multiply the coefficient of (m^2) (14) by the constant term (21). This gives you (14 \times 21 = 294).
- Find two numbers that multiply to 294 and add to the coefficient of (m) term (55). The numbers are 42 and 7.
- Rewrite the middle term (55m) using these two numbers: (55m = 42m + 13m).
- Group the terms: (14m^2 + 42m + 13m + 21).
- Factor by grouping: (14m(m + 3) + 7(3m + 7)).
- Factor out the common factors: (14m(m + 3) + 7(3m + 7)).
- The factored expression is ( (14m + 7)(m + 3)).
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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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