Polynomial Addition and Multiplication Mastery

Judy from the AP program introduces lesson three, focusing on polynomial addition and multiplication, essential for AP pre-calculus. The lesson covers combining like terms, distributing multiplication, and writing in standard form. Common errors are highlighted, with examples provided for clarity. The video also demonstrates multiplying binomials using the FOIL method and calculating area as a product of polynomials. The lesson concludes with a focus on developing procedural and symbolic fluency, encouraging students to assess their understanding and seek additional support if needed.

Why is it important to master polynomial addition and multiplication for AP Pre-Calculus?

• Because it is only needed for Algebra 1.

• Because it is not used in any other math courses.

• Because it is a prerequisite for understanding more complex topics.

• Because it is a fun topic.

What is the first step when adding polynomials?

• Dropping the parentheses.

• Combining like terms.

• Multiplying the coefficients.

• Rearranging the terms.

When multiplying polynomials, what should you do after multiplying each term?

• Combine like terms.

• Rearrange the terms.

• Drop the parentheses.

• Add the coefficients.

In the expression 4 - (3x + 5), what is the correct simplified form?

• 4 - 3x + 5

• 4 - 3x - 5

• 4 + 3x - 5

• 4 + 3x + 5

What is the simplified form of 5x^2 + 8x - 3 + (2x^2 - 7x + 13x)?

• 5x^2 + 14x - 3

• 5x^2 + x + 10

• 7x^2 + 6x + 10

• 7x^2 + 14x - 3

What does the 'F' in the FOIL method stand for?

• Factor

• Final

• Function

• First

What is the simplified form of (c^2 + 2)(c^3 + 6c^2 + 2c)?

• c^5 + 6c^4 + 4c^3 + 12c^2 + 2c

• c^5 + 6c^4 + 2c^3 + 12c^2 + 4c

• c^5 + 6c^4 + 4c^3 + 6c^2 + 4c

• c^5 + 6c^4 + 4c^3 + 12c^2 + 4c

What is the final simplified form of 2x^3 + x^2 - 4x + 5 multiplied by 3x^2 - 2?

• 6x^5 + 3x^4 - 16x^3 + 13x^2 + 8x - 10

• 6x^5 + 3x^4 - 16x^3 + 13x^2 + 8x + 10

• 6x^5 + 3x^4 - 16x^3 + 13x^2 - 8x - 10

• 6x^5 + 3x^4 - 16x^3 + 13x^2 + 8x - 5

When multiplying three expressions, what is the first step?

• Add all three together.

• Multiply any two of them together first.

• Multiply all three together at once.

• Distribute the terms of all three expressions.

What is the simplified form of -2(x - 3)(x^2 - 3x + 4)?

• -2x^3 + 12x^2 - 26x + 24

• -2x^3 + 12x^2 + 26x - 24

• -2x^3 + 12x^2 - 26x - 24

• -2x^3 + 12x^2 + 26x + 24