4.4 Flashcards

1
Q

Factoring a polynomial

A

Factor out a GCF if possible and use grouping or quadratics to factor completely.

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2
Q

Factoring using the quadratic form

A

If the monomials in a polynomial are perfect squares, you can factor by multiplying the square root by itself

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3
Q

Steps to factoring the sum and difference of cubes

A

Factor by taking the cube root
Set it up by subtracting/adding the first term and second term (Use the same subtraction/addition as the original problem)
Then make a polynomial using the first term squared plus/minus (use the opposite of the original problem) first term * second term plus second term squared.

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4
Q

What is a problem where you factor a cube root made of?

A

A binomial and a polynomial

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5
Q

What do you do when finding the zeros with a squared binomial that cannot be factored?

A

Get the x² on one side and take the square root of both sides

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6
Q

How to show something is a zero of a function

A

Plug it into all of the x’s. if the remainder is zero, it is a zero

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7
Q

How to show something is a factor of a function

A

Take the opposite of the #, use synthetic division, and divide the function by the number

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