Mini-Lecture 5.3: Multiplying Polynomials - Edubirdie

University:
Montgomery College
Course:
MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems
Academic year:

2023
Views:

263

Pages:

1
Author:

Lance Gutierrez

Mini-Lecture 5.3 Multiplying Polynomials Learning Objectives 1. Use the distributive property to multiply polynomials. 2. Multiply polynomials vertically. Examples: 1. Multiply the following monomials. a) 4x3 · 2x6 b) (-3t4)(5t3) c) (-4.2x3)(5.1x5) ⎛ 2 ⎞⎛ 7 ⎞ d) ⎜ − a 4 ⎟⎜ a 7 ⎟ ⎝ 7 ⎠⎝ 8 ⎠ Multiply the monomial by the polynomial. e) 5a(-12a – 6) f) 4x3(-7x + 1) g) -6y5(8y4 – 12y2) h) 3ab7 3ab3 − 12b 2 − 4a ( ) Multiply the following binomials. i) (x + 3)(x – 5) m) 2 3 j) (3x – 4)(2x + 5) (y – 12)(y2 + 6y – 3) n) 3⎞ ⎛ k) ⎜ x + ⎟ 4⎠ ⎝ (x – 8)(4 – 5x – x2) 2 l) (1 – 5x)(2 – 3x) o) (8ab – b)2 2. Multiply vertically. a) (x – 3y)(4x – 5y) b) (y – 2)(3y2 + 4y –1) c) (x2 + x + 7)(x2 + x + 1) Teaching Notes: • • • • • Most students find this section relatively easy. Remind students to be cautious with signs when distributing. In 3c) and 3g), many students will “distribute” the exponent to each term in the base instead of squaring the binomial. Some students are very hesitant to work vertically. Each section in the text has 3 worksheets in the Extra Practice featuring differentiated learning. Answers: 1a) 8x9; 1b) -15t7; 1c) -21.42x8; 1d) -1/4a11; 1e) -60a2-30a; 1f) -28x4+4x3; 1g) -48y9+72y7; 1h) 9a2b10-36ab9-12a2b7; 1i) x2-2x-15; 1j) 6x5-8x3-15x2-20; 1k) x 2 + 6 9 x + ; 1l) 15x2-13x+2; 4 16 1m) y3-6y2-75y+36; 1n) -x3-13x2-36x-32; 1o) 64a2b2-16ab2+b2; 2a) 4x2-17xy+15y2; 2b) 3y3-2y2-9y+2; 2c) x4 + 2x3 + 9x2 + 8x + 7

Related Documents

Mini-Lecture 5.3: Multiplying Polynomials

Mini-Lecture 5.3: Multiplying Polynomials - Page 1

of 1

New Documents from this Course

Mini-Lecture 8.4: Multiplying and Dividing Radicals

Mini-Lecture 8.4: Multiplying and Dividing Radicals

Montgomery College MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems

Lecture Note

Mini-Lecture 7.1: Simplifying Rational Expressions

Mini-Lecture 7.1: Simplifying Rational Expressions

Montgomery College MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems

Lecture Note

Mini-Lecture 6.3: Factoring Trinomials of the Form ax2+bx+c and Perfect Square Trinomials

Mini-Lecture 6.3: Factoring Trinomials of the Form ax2+bx+c and Perfect Square Trinomials

Montgomery College MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems

Lecture Note

Mini-Lecture 9.3: Solving Quadratic Equations by the Quadratic Formula

Mini-Lecture 9.3: Solving Quadratic Equations by the Quadratic Formula

Montgomery College MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems

Lecture Note

Mini-Lecture 4.5: Graphing Linear Inequalities

Mini-Lecture 4.5: Graphing Linear Inequalities

Montgomery College MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems

Lecture Note

Mini-Lecture 3.3: Intercepts

Mini-Lecture 3.3: Intercepts

Montgomery College MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems

Lecture Note

Mini-Lecture 9.4: Complex Solutions of Quadratic Equations

Mini-Lecture 9.4: Complex Solutions of Quadratic Equations

Montgomery College MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems

Lecture Note

Mini-Lecture 3.4: Slope and Rate of Change

Mini-Lecture 3.4: Slope and Rate of Change

Montgomery College MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems

Lecture Note

Mini-Lecture 7.8: Simplifying Complex Fractions

Mini-Lecture 7.8: Simplifying Complex Fractions

Montgomery College MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems

Lecture Note

Mini-Lecture 7.6: Proportion and Problem Solving with Rational Equations

Mini-Lecture 7.6: Proportion and Problem Solving with Rational Equations

Montgomery College MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems

Lecture Note

Mini-Lecture 3.1: Reading Graphs and the Rectangular Coordinate System

Mini-Lecture 3.1: Reading Graphs and the Rectangular Coordinate System

Montgomery College MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems

Lecture Note

Mini-Lecture 1.3: Fractions

Mini-Lecture 1.3: Fractions

Montgomery College MATH 130: Elements of Mathematics I: Mathematical Reasoning and Number Systems

Lecture Note