SOLUTION: a. Explain how the development of this factoring strategy is an example of working backwards to solve a problem. b) The product of (x + p)(x + q) can be written as x2 + (p + q)x

Question 1018024: a. Explain how the development of this factoring strategy is an example of working backwards to solve a problem.
b) The product of (x + p)(x + q) can be written as x2 + (p + q)x + pq.
1 i. An intermediate step in this multiplication is x2 + px + qx + pq = x2 + (p + q)x + pq. Explain why px + qx = (p + q). EXPLAIN WHY
2. Explain why the expression x2 + (p + q)x + pq leads to the need to determine integers that add to b and have a product c when factoring a trinomial of the form x2 + bx + c.
3. ⦁ Factor each of the following expressions
A) . 10n2 + n � 3
B) 2d2 � 8de + 6e2
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
The key to understanding and explaining is the Distributive Property. Get a formula going forward and use the formula in going backward.
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