1. Home
  2. >Year 11 Maths
  3. >Introduction to Polynomials
Help

Equivalent expressions of polynomials

All You Need in One Place

Everything you need for Year 6 maths and science through to Year 13 and beyond.

Learn with Confidence

We’ve mastered the national curriculum to help you secure merit and excellence marks.

Unlimited Help

The best tips, tricks, walkthroughs, and practice questions available.

0/2
?
Intros
Lessons
  2. 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.
  3. 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. z3−z3+z2+2x5−4y3+3z2{z^3} - {z^3} + {z^2} + 2{x^5} - 4{y^3} + 3{z^2}
    4. x2+z2+3x2−z2−4x2x^2 + z^2 + 3x^2 - z^2 - 4x^2
    5. z2+3z+4z3−34−z5{z^2} + 3z + 4{z^3} - {3^4} - {z^5}
    6. 5y2+4−6y+y2−3+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. −y2−3y3−x - {y^2} - 3{y^3} - x
    3. 5x−3y+6xy5x - 3y + 6xy
0%
?
Practice
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.
Basic Concepts
?
Related Concepts
?