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- UK Year 9 Maths
- Introduction to Polynomials
Equivalent expressions of polynomials
- Intro Lesson: a10:13
- Intro Lesson: b7:56
- Lesson: 1a0:50
- Lesson: 1b0:48
- Lesson: 1c1:01
- Lesson: 2a1:08
- Lesson: 2b0:34
- Lesson: 2c0:41
- Lesson: 3a1:21
- Lesson: 3b1:37
- Lesson: 3c1:57
- Lesson: 3d1:33
- Lesson: 3e0:53
- Lesson: 3f2:19
- Lesson: 4a2:42
- Lesson: 4b2:03
- Lesson: 4c1:29
Equivalent expressions of polynomials
A polynomial may contain multiple terms. The variable terms have a coefficient and a variable. Terms with the same variables are called like terms, and they can be combined together. It allows us to write equivalent expressions of polynomials with more or less terms.
Basic Concepts: Understanding integer division, Applications of integer operations, Characteristics of polynomials
Lessons
- Introductiona)What is a polynomial?
- Review on Variables, Coefficients, and Expressions
- What are Monomials, Binomials, and Trinomials?
- What are the Degree, Leading Term, and Constant term of a polynomial?
- Name polynomials based on degree: Quadratic, Cubic, Quartic, Quintic, etc.
b)How to find the degree of a polynomial? - 1.Identify the coefficient and the number of variables for each expression.a)8xb)7x2yc)−ab
- 2.Find the like terms.a)3x 7y 50x x 23x2b)73a2 31a 3b2 0.3c 3a2bc)15y −23y 13y2z −10y x2y
- 3.Combine like terms.a)x3+x5+x3b)y2+y5+5y2+x+x2+xc)z3−z3+z2+2x5−4y3+3z2d)x2+z2+3x2−z2−4x2e)z2+3z+4z3−34−z5f)5y2+4−6y+y2−3+y
- 4.4. Write an equivalent expression with seven terms for each polynomial.a)x2+2x+3b)−y2−3y3−xc)5x−3y+6xy
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22.
Introduction to Polynomials
22.1
Characteristics of polynomials
22.2
Equivalent expressions of polynomials
22.3
Adding and subtracting polynomials