Polynomial Vocabulary: Problems with Solutions

Polinomial: $a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ... + a_1x^1+a_0$
Terms: $a_nx^n, a_{n-1}x^{n-1}, a_{n-2}x^{n-2}, a_1x^1, a_0$
Coefficients: $a_n, a_{n-1}, a_{n-2}, ... ,a_1, a_0$
Main Coefficient: $a_n$
Grade: $n$
Variable: $x$
Independent term: $a_0$
Problem 1
What is the grade of this polynomial?
$5x^{2}-3x^{5}+2x-5$
Problem 2
How many terms does the polynomial have?
$2y^{6}-\frac{3}{2}y^{2}+1$
Problem 3
What is the grade of this polynomial?
$\frac{5}{2}-x+5x^{4}-3x^{2}+\frac{1}{2}$
Problem 4
This polynomial has 4 terms and its grade is 3.
$4x^{3}-4x^{5}+4x+4$
Problem 5
A polynomial that has grade 3, independent term 3 and main coefficient 3, is called a trinomial.
Problem 6
The following polynomial is a trinomial, it has grade 4, the variable is x and it has an independent term -2.
$5x^{2}-x^{4}+(3-5)$
Problem 7
Write a polynomial of grade 1, main coefficient 1, that has an independent term 0, and its variable is y.
Problem 8
How many terms must a binomial have?
Problem 9
Which of the following algebraic expressions is a polynomial?
Problem 10
Which of the following algebraic expressions is a polynomial?

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