Classifying Polynomials

Standard form of Polynomials

And classifying polynomials review.

Standard form of a polynomial has the exponentis in decreasing order.

3x+7x²+4
21ab-9a²b²+4a²-7b

Not standard Form

4x² + 3x - 2
3x³-8x

Standard form

Categorize

Options (6)

$$7x^2-5x+2$$  

$$3x^7+4x^5-2x+9$$  

$$17a^{12}+9a^3-8a$$  

$$7x-8+3x^2$$  

$$5x^6-9x^9+4x-1$$  

$$8x-8+3x^6-2x^5$$  

Sort the polynomials based on if they are in standard form or not.

Standard Form

Not Standard Form

Dropdown

The polynomial 3x⁴+7x²-3 is a

Select answer

​

Select answer

​.(Give your categories by degree then terms.)

Reorder

Reorder the terms to put the polynomial in standard form

• $$3x^4$$

• $$-7x^3$$

• $$3x^2$$

• $$x$$

• $$12$$

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Categorize

Options (8)

$$4a^2b$$  

$$25$$  

$$19xyz$$  

$$x+1$$  

$$3ab^2+2a^2b$$  

$$2x^2+7x-9$$  

$$21a^3+5a^2b+6ab^2$$  

$$2x^7+3x^4-6x^3+9x-7$$  

Categorize the polynomials by their terms.

Monomial

Binomial

Trinomial

Other Polynomial

Categorize

Options (10)

$$3x+2$$  

$$8x$$  

$$8a+7b+9c$$  

$$5xy+9x$$  

$$5x^2+2x-1$$  

$$7a^2$$  

$$3abc+2a-4b+c$$  

$$7x^3-9x^2+4x-1$$  

$$3x^2y^2+7$$  

$$3x^4-7x^2+1$$  

Categorize the polynomials by their degree

linear

quadratic

cubic

quartic

Math Response

Rewrite the polynomial in standard form.

$$4-3x^2+6x^4-9x+x^3$$

Type answer here

Correct Answer: 6x^4+x^3-3x^2-9x+4

Deg^°

Rad

Math Response

Simplify the polynomial.

$$3a^3+2ab-4a+5a^3-9ab$$

Type answer here

Correct Answer: 8a^3-7ab-4a

Deg^°

Rad

Match

Match each polynomial to the correct name. Both degree and terms should match.

• $$3x^3+7x$$

• $$4x^5-6x^3+6x-9$$

• $$7abc$$

• $$4x^2-9x+2$$

• $$9x^2y^2+3xy^2$$

Cubic Binomial

5^th degree polynomial

Cubic monomial

Quadratic trinomial

Quartic Binomial

• Cubic Binomial

• 5^th degree polynomial

• Cubic monomial

• Quadratic trinomial

• Quartic Binomial