Answer:
- (x -3)(x+3)(2x +1)
- (x -1)(x +1)(x +3)
- (2x -1)(2x +1)(x -4)
Step-by-step explanation:
A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)
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B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)
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C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)
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In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).
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The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.
I believe it is D, because if you divide 2/6 its .333 minus 1.25/6, which is .124.
Answer:

General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (40, 3000)
Point (60, 4000)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:

- Subtract:

- Divide:

Answer:
(C)19
Step-by-step explanation:
The diagram is drawn and attached.
Using the intersecting chord theorem
SL X LT = JL X LK
x X 12 = 14(x-1)
12x=14x-14
12x-14x=-14
-2x=-14
x=7
Therefore:
ST= SL + LT
=x+12
=7+12
ST=19
The correct option is C