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Question
in the conceptual method, after calculating the product of a and c, what is the next step regarding the b term?
find two numbers that multiply to ac and add to b
subtract b from ac
divide ac by b
find two numbers that multiply to b and add to ac
The conceptual method (factoring quadratic trinomials of the form \(ax^{2}+bx + c\)) involves first finding the product \(ac\). The next step is to find two numbers that multiply to \(ac\) and add up to \(b\). This is the key step in factoring by grouping or the conceptual factoring method. The other options do not align with the standard factoring process: subtracting \(b\) from \(ac\) or dividing \(ac\) by \(b\) are not part of the method, and the fourth option reverses the multiplication and addition targets.
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A. Find two numbers that multiply to 'ac' and add to 'b'