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Mathematics

9th - 12th Grade

Used 2+ times

2025 Polynomial Basics Practice
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10 questions

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1.

CATEGORIZE QUESTION

3 mins • 1 pt

Determine whether each expression below represents a polynomial or does not represent a polynomial.

Drag and drop the expressions into the correct category.

Groups:

(a) Polynomials

,

(b) Not a Polynomial

−6x5+6x 7-6x^5+6x\sqrt{\ 7}  

 16xyz\sqrt{\ 16}xyz  

6x−26x^{-2}  

w3yz − 8x−4y w^3yz\ -\ 8x^{-4}y\  

3x3+5xy+33x^3+5xy+3  

12x9−2y1312x^9-2y^{\frac{1}{3}}  

10x010x^0  

6xy3−5 x6xy^3-5\sqrt{\ x}  

12yx12y^x  

3x8−2xyz\frac{3x}{8}-2xyz  

7xwy − 10\frac{7xw}{y\ -\ 10}  

2.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Given the expression

x5−7x4−x3+2x+14x^5-7x^4-x^3+2x+\frac{1}{4}

Which 2 statements are true about the expression?

This is a binomial expression.

It is a polynomial with 5 terms

The leading coefficient is -7

The leading term is x5x^5 .

The highest degree in the polynomial is 3

3.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Given the expression

4xy − 8x2y + −9 +10x2yw34xy\ -\ 8x^2y\ +\ -9\ +10x^2yw^3

Which 3 statements describe the expression

5th degree trinomial

6th degree polynomial

The leading term is 4xy.

The leading term is 10x2yw310x^2yw^3

The leading coefficient is 10

4.

DRAG AND DROP QUESTION

1 min • 1 pt

​ Which term, when added to the expression, would make it NOT be a polynomial.

9x +6xy −12x5 9x\ +6xy\ -12x^5\ ​ (a)  

4xy−94xy^{-9}  

 4xy3\sqrt{\ 4}xy^3
3x2y55\frac{3x^2y^5}{5}

5.

MATCH QUESTION

1 min • 1 pt

Match the expressions with the correct classification.

6y4−7w5+9x96y^4-7w^5+9x^9

Binomial

4x4y5+15w04x^4y^5+15w^0

Polynomial

9x4+10x2y+y3w459x^4+\frac{10x^2}{y}+\frac{y^3w^4}{5}

Monomial

9x4+10x23 −12+y3w459x^4+\frac{10x^2}{3}\ -12+\frac{y^3w^4}{5}

Not a Polynomial

12xyz012xyz^0

Trinomial

6.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Given the expression

2x5− 25yw10+5x −2 x2x^5-\sqrt{\ 25}yw^{10}+5x\ -2\sqrt{\ x}

Select the expression(s) that are true about the expression.

10th degree polynomial

The leading term is −25 yw5-\sqrt{25\ }yw^5

The leading coefficient is 2

The expression does not represent a polynomial

7.

MULTIPLE CHOICE QUESTION

20 sec • 5 pts

What is the leading term of this polynomial?

4x3+8x5-4x2+1x

1x

8x5

4x3

-4x2

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