Standard Form of a Polynomial Function and Its Degree
Read this topicExplanations 5
- Polynomials are a certain type of function, with very nice properties. Generally, a polynomial of a variable xxx is of the form P(x)=∑i=0naixi=anxn+an−1xn−1+...+a1x+a0P(x) = \su…
By AJ Dennis, Moor Xu, Anusha Rahman
- The standard form of a polynomial function is: y=anxn+an−1xn−1+an−2xn−2+...+a0x0y = a_n x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + ... + a_0 x^{0}y=anxn+an−1xn−1+an−2xn−2+..…
By Vivian Loh, Sharky Kesa, Alex Federspiel, Anusha Rahman
- (Video) How to Write a Polynomial in Standard Form by Mr. McLogan's Math Channel In this video by Mr. McLogan's Math Channel he shows how to write any polynomial in its standard…
By Stefan Cuevas, Alex Federspiel
- (Video) Learn How to Write a Polynomial in Standard Form and Classify It by Mr. McLogan's Math Channel In this video by Mr. McLogan's Math Channel he works out a more complicate…
By Stefan Cuevas, Alex Federspiel
- Polynomial Functions When dealing with polynomial functions, it is easiest to deal with them in standard form. The degree of a polynomial determines the total number of roots, a…
By Anusha Rahman
Problems 15
- Is 10x−5x2+6x3−x20x210x - 5x^2+6x^3 - \frac{x^{20}} {x^{2}}10x−5x2+6x3−x2x20 a polynomial? If yes, what is its degree?
- Is 4x2+x4+x+14x^2 + \sqrt{x^4} + x + 14x2+x4+x+1 a polynomial? If yes, what is its degree?
- Which of the following are polynomials? (You may choose more than one.)
- Consider the quadratic function f(x)=ax2+bx+cf(x) = ax^2 + bx + cf(x)=ax2+bx+c Assume that aaa and bbb are given. If the function has only one distinct root, what must ccc be?
- There is a polynomial PPP such that for every real number xxx, x512+x256+1=(x2+x+1)P(x).x^{512} + x^{256} + 1 = (x^2 + x + 1) P(x).x512+x256+1=(x2+x+1)P(x). When PPP is written …
- Write the following polynomial function in standard form. f(x)=100x2+8x3+10x+500f(x) = 100x^2 + 8x^3 + 10x + 500f(x)=100x2+8x3+10x+500
- What is the degree of this polynomial? f(x)=100x2+8x3+10x+500f(x) = 100x^2 + 8x^3 + 10x + 500f(x)=100x2+8x3+10x+500
- What is the leading term of this polynomial? f(x)=100x2+8x3+10x+500f(x) = 100x^2 + 8x^3 + 10x + 500f(x)=100x2+8x3+10x+500
- Is this polynomial in standard form? 5x3+10x45x^3 + 10x^45x3+10x4
- Is this polynomial in standard form? 5x5+10x4+8x35x^5 + 10x^4 + 8x^35x5+10x4+8x3
- Is this polynomial in standard form? 5+5x5+10x4+8x35 + 5x^5 + 10x^4 + 8x^35+5x5+10x4+8x3
- Which of the following is a polynomial?
- Which of the following polynomials are in standard form?
- What is the leading term of the following polynomial? 3x2+x3+5x+123x^2 + x^3 + 5x + 123x2+x3+5x+12
- How do you find the leading term of a polynomial?