Practice Objectives
- Demonstrate the ability to factor out the GCF from a polynomial
- Demonstrate the ability to factor a trinomial using the AC Method
Practice Factoring Trinomials When a ≠ 1
Instructions:
Answer 7/10 questions correctly to pass.
Factor each trinomial using the AC Method, then complete the "Factored Form" by entering the values for "a", "b", "c", and "d" below. If the polynomial is prime, select the "Prime Polynomial" checkbox.
- The first term of each binomial must be positive
- Negative values for "a" or "c" will trigger an "invalid number" error
Problem:
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Factoring Trinomials Using the AC Method (Grouping):
- Factor out the GCF if it isn't 1
- If the leading coefficient is negative, factoring out the -GCF is helpful
- Write the trinomial in standard form
- ax2 + bx + c
- Find two integers whose product is ac and whose sum is b
- Use the two integers to rewrite the middle-term
- Factor the four-term polynomial using grouping
- If no such integers can be found, the polynomial is prime
Step-by-Step:
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