Factoring Notes 10E

Factoring Polynomials

1/30 - 10E

Fill in the Blanks

Bell Ringer: What is the degree of the following polynomial?

$f\left(x\right)\ =\ 5x^2\ -\ 3x\ -\ x^3\ +\ 5$

Steps

1) Draw your ____________.

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2) ______ on top and put _____ on the bottom.

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3) Find two numbers that __________ to get the ______ and _______ to get the ______.

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4) Complete the __________

( ) ( ).

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5) _________ each by the ____________________.

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​(We will figure out the two side numbers on the next slide)

Multiple Select

Decide your factors for the side of the Big X.

What TWO numbers would multiply to 15 & add to 8?

• 3

• 5

• 2

• 4

• 15

​15

8

3

5

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​NOTE:

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​NOTE:

Multiple Choice

What are the two factors of the polynomial $$3x^2\ -\ 16x\ +\ 5$$ ?

(HINT: Don't forget to divide by the gcd)

• $$\left(3x-1\right)\left(x-5\right)$$

• $$\left(3x-1\right)\left(3x-15\right)$$

• $$\left(x-15\right)\left(x-1\right)$$

• $$\left(3x+1\right)\left(3x+15\right)$$

• $$\left(x+5\right)\left(3x+1\right)$$

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​NOTE:

Math Response

Factor the following polynomial: $$4x^2\ -\ 25$$ .

Type answer here

Correct Answer: \left(2x-5\right)\left(2x+5\right)

Deg^°

Rad

​GREAT WORK TODAY!