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5.4 Factoring Polynomials

5.4 Factoring Polynomials. Alg 2. Factoring with GCF. Factor. The GCF is 5 ab. Distributive Property. Answer:. Factor. Answer:. Factoring by Grouping. Factor. Group to find the GCF. Factor the GCF of each binomial. Answer:. Distributive Property. Factor. Answer:.

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5.4 Factoring Polynomials

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  1. 5.4 Factoring Polynomials Alg 2

  2. Factoring with GCF Factor The GCF is 5ab. Distributive Property Answer:

  3. Factor Answer:

  4. Factoring by Grouping Factor Group to find the GCF. Factor the GCF of each binomial. Answer: Distributive Property

  5. Factor Answer:

  6. Factoring 2 or 3 terms Factor out the GCF of each Factor To find the coefficient of the y terms, you must find two numbers whose product is 3(–5) or –15 and whose sum is –2. The two coefficients must be 3 and –5 since and Distributive Property Answer: Substitute –5y+ 3y for –2y. Associative Property Rewrite problem using –5y and 3y in place of –2y and factor by grouping.

  7. Difference of 2 squares Factor Factor out the GCF. p2 – 9 is the difference of two squares. Answer:

  8. Difference of 2 cubes Factor This is the sum of two cubes. Sum of two cubes formula with and Answer: Simplify.

  9. Factor Difference of two squares Answer: Sum and differenceof two cubes This polynomial could be considered the difference of two squares or the difference of two cubes. The difference of two squares should always be done before the difference of two cubes.

  10. Check Use the table feature of your calculator to compare the original expression and the factored form. The table shows that the original function and the factored form have the same function values. 

  11. Factor each polynomial.a. b. c. d. Answer: Answer: Answer: Answer:

  12. Summary

  13. Simplify Factor the numerator and the denominator. Divide. Assume a  –5, –2. Answer: Therefore, Quotient of two Trinomials

  14. Simplify Answer:

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