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Factor the trinomial:Answer:
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Q. Factor the trinomial:Answer:
- Identify , , : Identify , , and in the trinomial . Compare with .
- Find two numbers: Find two numbers whose product is () and whose sum is ().We need to find two numbers that multiply to and add up to .The numbers and satisfy these conditions because:
- Rewrite middle term: Rewrite the middle term using the two numbers found in Step .We can express as .So, the trinomial becomes:
- Factor by grouping: Factor by grouping.Group the terms into two pairs:Factor out the greatest common factor from each pair:
- Factor out common binomial: Factor out the common binomial factor.The common binomial factor is .The factored form is:
