Polynomials - Definition & Overview
Read this topicExplanations 3
- DEFINITIONS A polynomial is a mathematical expression of one or more algebraic terms (monomials). The word "polynomial" comes from the root words poly- (many) and -nomial (terms…
By K Paluch, Alex Federspiel, Naomi Burgess, Joshua Siktar, Vatsal Ojha, Jonathan Heller, Anusha Rahman
- What is a Polynomial? A polynomial is a mathematical expression made up of two or more terms joined together by addition or subtraction. These terms can be constants (numbers on…
By Hannah Bonville, Naomi Burgess, Alex Federspiel, Joshua Siktar, Jonathan Heller, Anusha Rahman
- (Videos) Basics of Polynomials by mathman1024 This video by mathman1024 goes over the basics of polynomials. Summary\large{\text{Summary}}Summary A polynomial is the sum of term…
By Alex Federspiel, Amy Feraco, Jonathan Heller, Caroline K, Anusha Rahman
Problems 26
- What is the degree of 5x7+3x4+2x3+55x^7+3x^4+2x^3+55x7+3x4+2x3+5?
- Find the degree of 2015x+5x3+7x9+13x22015x+5x^3+7x^9+13x^22015x+5x3+7x9+13x2.
- Is 4x2+3x+54x^2 + 3x + 54x2+3x+5 a polynomial? If yes, what is its degree?
- Is x−2−x+3x^{-2} - x + 3x−2−x+3 a polynomial? If yes, what is its degree?
- Is x2(x+1)−2x^2(x+1) - 2x2(x+1)−2 a polynomial? If so, what is its degree?
- Which of the following polynomials are written in standard form?
- Is 5x2+10x+55x^2 + 10x + 55x2+10x+5 a polynomial? If yes, what is its degree?
- How do you write 3x+4+x3−2x23x + 4 + x^3 - 2x^23x+4+x3−2x2 in standard form?
- What is the degree of the polynomial 4(x2+2)−2x4(x^2+2) - 2x4(x2+2)−2x?
- What is the degree of the polynomial 3x+4x2+23x + 4x^2 + 23x+4x2+2?
- What is the degree of the monomial 7x2y37x^2y^37x2y3?
- How many terms does the expression 3x2−2x+43x^2 - 2x + 43x2−2x+4 have? What is the expression's degree?
- How many terms does the expression 333 have? What is the degree of this expression?
- How do you write the polynomial 6x−8x3+3x4−x2+26x - 8x^3 + 3x^4 - x^2 + 26x−8x3+3x4−x2+2 in standard form?
- Find the degree and type of the polynomial x3−4x2−2x+3x^3 - 4x^2 - 2x + 3x3−4x2−2x+3.
- What is the degree and type of the polynomial 2x+32x + 32x+3?
- Which of the following is not a binomial?
- Which of the following is a trinomial?
- Find the degrees of the following two polynomials: 4x2+3x−14x^2 + 3x - 14x2+3x−1 and 2x3+7x+32x^3 + 7x + 32x3+7x+3.
- What is the simplified and standard form of the polynomial? 4x−2x2+3−4x3+2x−5x2+14x - 2x^2 + 3 - 4x^3 + 2x - 5x^2 + 14x−2x2+3−4x3+2x−5x2+1
- Identify all the polynomials that aren't monomials.
- Which of the following are multivariable polynomials?
- Recall that the highest exponent of a variable is known as the degree of the variable. \\ Rearrange the following expressions, from highest to lowest degree. 2x3,10y2,z5,p1,3q42…
- What is the degree of 7x−17x-17x−1?
- Which of the following is a cubic binomial?
- Which of the following polynomials are quadratic?