Factor by Grouping Skill 55.

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Presentation transcript:

Factor by Grouping Skill 55

Objective HSA-SSE.1a: Interpret parts of an expression such as terms, factors, and coefficients.

You can factor polynomials of higher degrees using grouping methods.

Example: Factoring by Grouping Factor: x3 – x2 – 25x + 25. (x3 – x2) + (–25x + 25) Group terms. Factor common monomials from each group. x2(x – 1) – 25(x – 1) (x – 1)(x2 – 25) Factor the common binomial (x–1). (x – 1)(x – 5)(x + 5) Factor the difference of squares.

Example; Factor by Grouping Factor: x3 – 2x2 – 9x + 18. (x3 – 2x2) + (–9x + 18) Group terms. Factor common monomials from each group. x2(x – 2) – 9(x – 2) (x – 2)(x2 – 9) Factor the common binomial (x–2). (x – 2)(x – 3)(x + 3) Factor the difference of squares.

Do It Yourself: Example; Factor by Grouping Factor: 2x3 + x2 + 8x + 4. (2x3 + x2) + (8x + 4) x2(2x + 1) + 4(2x + 1) (2x + 1)(x2 + 4) (2x + 1)(x2 + 4)

55: Factoring by Grouping Questions? Summarize your Notes Homework Google Classroom Quiz