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Basic Math

Understanding integer divisionBasic Math

Applications of integer operationsAlgebra

Characteristics of polynomials- Home
- UK Year 10 Maths
- Polynomials

Still Confused?

Try reviewing these fundamentals first

Basic Math

Understanding integer divisionBasic Math

Applications of integer operationsAlgebra

Characteristics of polynomialsStill Confused?

Try reviewing these fundamentals first

Basic Math

Understanding integer divisionBasic Math

Applications of integer operationsAlgebra

Characteristics of polynomialsNope, got it.

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Get Started Now- Intro Lesson: a10:13
- Intro Lesson: b7:56
- Lesson: 1a0:50
- Lesson: 1b0:48
- Lesson: 1c1:01
- Lesson: 2a1:08
- Lesson: 2b0:34
- 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

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

- 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)$8x$b)$7{x^2}y$c)$- ab$
- 2.Find the like terms.a)$3x$ $7y$ $50x$ $x$ $23{x^2}$b)$73{a^2}$ $\frac{1}{3}a$ $3{b^2}$ $0.3{c^{}}$ $3{a^2}b$
- 3.Combine like terms.a)$x^3 + x^5 + x^3$b)${y^2} + {y^5} + 5{y^2} + x + {x^2} + x$c)${z^3} - {z^3} + {z^2} + 2{x^5} - 4{y^3} + 3{z^2}$d)$x^2 + z^2 + 3x^2 - z^2 - 4x^2$e)${z^2} + 3z + 4{z^3} - {3^4} - {z^5}$f)$5{y^2} + 4 - 6y + {y^2} - 3 + y$
- 4.4. Write an equivalent expression with seven terms for each polynomial.a)${x^2} + 2x + 3$b)$- {y^2} - 3{y^3} - x$c)$5x - 3y + 6xy$

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