Equivalent expressions of polynomials

Practice Now
0/2
Introduction
Lessons
  1. 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.
  2. How to find the degree of a polynomial?
0/14
Examples
Lessons
  1. Identify the coefficient and the number of variables for each expression.
    1. 8x8x
    2. 7x2y7{x^2}y
    3. ab - ab
  2. Find the like terms.
    1. 3x3x       7y7y       50x50x       xx       23x223{x^2}
    2. 73a273{a^2}       13a\frac{1}{3}a       3b23{b^2}       0.3c0.3{c^{}}       3a2b3{a^2}b
  3. Combine like terms.
    1. x3+x5+x3x^3 + x^5 + x^3
    2. y2+y5+5y2+x+x2+x{y^2} + {y^5} + 5{y^2} + x + {x^2} + x
    3. z3z3+z2+2x54y3+3z2{z^3} - {z^3} + {z^2} + 2{x^5} - 4{y^3} + 3{z^2}
    4. x2+z2+3x2z24x2x^2 + z^2 + 3x^2 - z^2 - 4x^2
    5. z2+3z+4z334z5{z^2} + 3z + 4{z^3} - {3^4} - {z^5}
    6. 5y2+46y+y23+y5{y^2} + 4 - 6y + {y^2} - 3 + y
  4. 4. Write an equivalent expression with seven terms for each polynomial.
    1. x2+2x+3{x^2} + 2x + 3
    2. y23y3x - {y^2} - 3{y^3} - x
    3. 5x3y+6xy5x - 3y + 6xy
0%
Practice
Free to Join!
StudyPug is a learning help platform covering math and science from grade 4 all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun - with achievements, customizable avatars, and awards to keep you motivated.
  • Easily See Your Progress

    We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.
  • Make Use of Our Learning Aids

    Last Viewed
    Practice Accuracy
    Suggested Tasks

    Get quick access to the topic you're currently learning.

    See how well your practice sessions are going over time.

    Stay on track with our daily recommendations.

  • Earn Achievements as You Learn

    Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.
  • Create and Customize Your Avatar

    Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.
Topic Notes
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.