WRITING POLYNOMIALS IN STANDARD FORM

Express each polynomial in standard form. Also, state the degree of the polynomial.

Problem 1 :

-1 + 2m² – 3n

Solution :

Standard form of the given polynomial is

2m² – 3n – 1

The degree of the polynomial is 2.

.Problem 2 :

5p²q + p⁶ – q⁴ + q³r² – 9 + 7p

Solution :

Standard form of the given polynomial is

p⁶ + 5p²q + 7p – q⁴ + q³r² – 9

The degree of the polynomial is 6.

Problem 3 :

7u² – 4v + u²v + 2

Solution :

Standard form of the given polynomial is

7u² + u²v – 4v + 2

The degree of the polynomial is 2.

Problem 4 :

-g⁴ + 6g² – g – 8 – g⁵

Solution :

Standard form of the given polynomial is

-g⁵ – g⁴ + 6g² – g – 8

The degree of the polynomial is 5.

Problem 5 :

-6t + 9 – 5t⁴ – 3t³

Solution :

Standard form of the given polynomial is

-5t⁴ – 3t³ – 6t – 9

The degree of the polynomial is 4.

Problem 6 :

3uw² + 1 + 4u – v²

Solution :

Standard form of the given polynomial is

4u + 3uw² – v² – 1

The degree of the polynomial is 2.

Problem 7 :

x² – 3x²y + xy³z

Solution :

Standard form of the given polynomial is

x² – 3x²y + xy³z

The degree of the polynomial is 3.

Problem 8 :

-7b + 2ab

Solution :

Standard form of the given polynomial is

2ab – 7b

The degree of the polynomial is 1.

Problem 9 :

q³ – 9q²r + 4r²s² + q – r²

Solution :

Standard form of the given polynomial is

q³ – 9q²r + q – r² + 4r²s²

The degree of the polynomial is 3.

Problem 10 :

w³ + 8w – w²

Solution :

Standard form of the given polynomial is

w³ – w² + 8w

The degree of the polynomial is 3.