mathematics
  Personalized »

KS3
 
 
 
Year 7
 
 
Year 8
 
 
Year 9

KS4
 
 
 
Year 10
 
 
Year 11

A-levels
 
 
 
Year 12 (AS)
 
 
Year 13 (A-levels)


physics
  Personalized »

 
 


KS4
 
 
 
KS4 Level Physics

A-levels
 
 
 
AS Level Physics
 
 
A-levels Physics


 
 
Private tutors
 
 
Find a tutor »


 


Unlock access to content
 
Select one option:



Free of charge
Unlock the chapter   "Attributes of Polynomials"  



Unlock access to the solution of problems in this chapter.
Free of charge Price: 3.00 £

Continue »
Subscribe to OpenProf     If you do not get a better grade, you get your money back!
 


Unlock access to all problems solutions.
Available from 8.25 £ / month.
Continue »
mathematics UK Year 10 Mathematics (KS4)
 
Solved problems for the chapter:
 

Attributes of Polynomials

download pdf
View the theory »
Polynomial for KS4
open
↓   Show theory [1]   ↓


Detailed solution steps are available at:
 
https://en.openprof.com/wb/chapter:attributes_of_polynomials/3607/


Example 1.

Determine the degree, the leading coefficient and the constant term for the given polynomial:


    
Example 2.
Find unknowns a, b and c to which the following applies:

    
3.
Determine the degree, the leading coefficient and the constant term for the given polynomial:

    
4.
Determine the degree, the leading coefficient and the constant term for the given polynomial:

    
5.
Determine the degree, the leading coefficient and the constant term for the given polynomial:

    
6.
Determine the degree, the leading coefficient and the constant term for the given polynomial:

    
7.

Given the polynomial




Identify and write down:

  • the degree of the polynomial,

  • the constant term of the polynomial,

  • the leading coefficient of the polynomial,

  • .

    
8.

Determine the degree, leading term and constant term of the polynomial below:


    

9.

Given the polynomial:




  • For and , calculate the zeros of the polynomial. Determine the domain of the function .


  • Compute and if one of the zeros of the polynomial p is .


  • Calculate and if the tangent to the graph of the polynomial p at the point is parallel to the line .

    
10.

Solve the inequality: