Pre-Calculus 20
Pre-Calculus 20 homepage Outcomes & Indicators Resources
← P20.5
P20.7 →
P20.6
Expand and demonstrate understanding of factoring polynomial expressions including those of the form:
  • $a^2x^2-b^2y^2, a ≠ 0, b ≠ 0$
  • $a(f(x))^2-b(f(x))+c,a ≠ 0$
  • $a^2(f(x))^2-b^2(g(y))^2, a ≠ 0, b ≠ 0$
where a, b, and c are rational numbers.

[CN, ME, R]

Indicators for this outcome
(a)

Develop, generalize, explain, and apply strategies for factoring polynomial expressions of the form:

  • $a^2x^2-b^2y^2,a ≠ 0, b ≠ 0, \text "a and b are real numbers"$
  • $ca^2x^2-cb^2y^2,a ≠ 0, b ≠ 0, \text "a, b, and c are real numbers"$
  • $a(f(x))^2-b(f(x))+c, a ≠ 0, \text "a, b, and c are real numbers"$
  • $da(f(x))^2-db(f(x))+dc, a ≠ 0, \text "a, b, c, and d are real numbers"$
  • $a^2(f(x))^2-b^2(g(y))^2, a ≠ 0, b ≠ 0, \text "a and b are real numbers"$
  • $da^2(f(x))^2 - db^2(g(y))^2, a ≠ 0, b ≠ 0, \text "a, b, and d are real numbers"$
(b)

Verify, with explanation, whether or not a given binomial is a factor for a given polynomial.
← P20.5
P20.7 →
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Resources
R053025
McGraw-Hill Ryerson Pre-Calculus 11. Student Edition
The student text consists of four units. Each unit opens with a two-page spread. The first page introduces what the students will learn throughout the unit and the second page introduces the unit project. Throughout the chapters are project corner boxes that will assist students to gather information for their projects. Each unit culminates with the project wrap-up. The chapters include career information based on the skills that will be learned. Opportunities are provided for students to make connections between math and the real world or to make connections to what students already know or may be studying in other classes. The student resource includes a table of contents, an answer key, a glossary and an index.
(More information)
Please see the related resources below.
•  McGraw-Hill Ryerson Pre-Calculus 11. Interactive Student Resource DVD
•  McGraw-Hill Ryerson Pre-Calculus 11. Interactive Teacher's Resource DVD
•  McGraw-Hill Ryerson Pre-Calculus 11. Teacher's Resource (Print & CD-ROM)
•  McGraw-Hill Ryerson Pre-Calculus 11. Teacher's Resource Package (Print, CD-ROM, Interactive Teacher's Resource DVD)
Media and Formats : Book
Price : $81.29
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Record posted/updated: August 13, 2019