Polynomials 1 Introduction

​Guided Notes

Multiple Choice

Simplify $$x^3\times x^2$$

• A: $$x^5$$

• B: $$x^6$$

• 5x

• Answer not shown.

Multiple Choice

Simplify: 3x - 2 + 5x + 4

• 11x

• 8x - 2

• 8x + 2

• 15x - 2

Multiple Select

Which of the following are expressions?

• a

• 3x - 2

• 3 $$x^4-6x+a$$

• $$\left|3x\right|-4$$

Drag and Drop

Place the non-polynomials and non-polynomials in the box at the top.​ ​ ​ ​ ​ ​

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​ ​

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​ ​

Drag these tiles and drop them in the correct blank above

5 - x

Match

Match the following expressions with their coefficients.

• 3x

• xy

• $$4x^2$$

• 5.2ab

• $$\frac{x}{3}$$

3

1

4

5.2

1/3

• 3

• 1

• 4

• 5.2

• 1/3

Dropdown

What type of polynomial is $$7x^5-x^{11}+2$$ ​

Select answer

Dropdown

What is the leading coefficient of the polynomial $$7x^5-x^{11}+2$$ ​ ​

Select answer

Dropdown

What is the degree of the polynomial $$7x^5-x^{11}+2$$ ​ ​

Select answer

Match

Example #1:  Write a polynomial equation whose degree is 4, whose variable is k, that has a leading coefficient of -5, has 3 terms and is equal to zero.​ ​ ​ ​

• $$-5k^4+5k-9=0$$

• $$4k^{-5}+35k-9=0$$

• $$-5k^4+6k-9$$

• $$0=4k-5k^4+k^3$$

• $$-5k^4+2k=0$$

Right

Wrong

Wrong

Right

Wrong

• Right

• Wrong

• Wrong

• Right

• Wrong

Drag and Drop

Example #1:  Write a polynomial equation whose degree is 4, whose variable is k, that has a leading coefficient of -5, has 3 terms and is equal to zero.​ ​ ​ ​

Drag these tiles and drop them in the correct blank above

Match

Which of the following are like terms?

• 4x

• abc

• 3b

• mn

• -3.2v

11.2x

-8abc

33b

nm

5.5v

• 11.2x

• -8abc

• 33b

• nm

• 5.5v

Multiple Choice

What is the constant in the expression $$5x-8y+8-9.2z$$

• (0, 8)

• -9.2

• 8

• -8

• 5x

Drag and Drop

To be ​

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the ​ variables and ​

Placeholder

must be the ​

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.

Drag these tiles and drop them in the correct blank above

like terms

exponents

same

letters

coefficients

Match

Match the following

• 5 + 4x + 3x - 2

• 5 + 4x - 3x + 2

• 3ab - 4 + ab - 4

• abc - abc

• 3x - 9 - 3x + 9

7x + 3

x + 7

4ab - 8

0

0

• 7x + 3

• x + 7

• 4ab - 8

• 0

• 0

Reorder

Reorder the following to be in descending order.

$$10x^3-x^4+3x^2+31-7x$$

• $$-x^4$$

• $$+\ 10x^3$$

• $$+\ 3x^2$$

• - 7x

• +31

1

2

3

4

5

• 1
• 2
• 3
• 4
• 5

Multiple Choice

Combine like terms.

$$-14mx+2mx+m-3x^2$$

• $$-11mx-3x^2$$

• $$12mx+m-3x^2$$

• $$-3x^2-12mx+m$$

• Answer not shown.