Lincoln B. answered • 07/27/15

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1. To factor the trinomial try reverse FOIL followed by guess and check:

What two numbers when multiplied equals -32 but when added equals 4?

(a+8p)(a-4p)

2. The inequality is |x|≥12 and this is actually two inequalities: x≥12 and -x≥12 or x≤-12

In interval notation this would be: (-∞,-12]U[12,-∞)

Here is a crude graph:

-∞ -12 12 ∞

<-------• •--------->

3. The rational function can be rewritten as: -(x

^{2}-49)/(x-7)Factoring the numerator gives: -(x+7)(x-7)/(x-7)=-(x+7) or -x-7

4. If this is correct: (a

^{3}b^{3}c + 12abc^{3 }+ 5a^{4}b^{6})/(6abc^{3}) then each expression (3 of them) in the numerator must be divided by the denominator to simplify:a

^{2}b^{2}/(6c^{2}) + 2 + 5a^{3}b^{5}/(6c^{3})