Polynomials Dividing/ Factoring Equations Inequalities Miscel- laneous

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Presentation transcript:

Polynomials Dividing/ Factoring Equations Inequalities Miscel- laneous 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

Consider this Differences Table. What type of polynomial is this?

3rd degree; cubic

Describe the end behaviour of

Starts HIGH Ends LOW (because it has an odd degree (5) and it has a negative leading coefficient)

How many turning points (minimum and maximum) can a quartic polynomial have?

At least 1, at most 3

Draw a sketch of the polynomial

y-scale does not need to be exact!

Determine the equation, in factored form, of the following polynomial:

Find the remainder of when it is divided by

Use synthetic division to find the quotient of divided by

Factor fully:

Find the quotient and remainder of divided by

Find the zeros of the polynomial:

What are the solutions to the following equation:

Solve

Solve the equation:

Solve the equation:

The depth of a diver, D, over t minutes is given by: When is the diver at the surface?

Write this set of numbers using interval notation:

Solve the linear inequality:

What is the solution set to the polynomial inequality:

What is an inequality represented by the following graph:

The height of a bird after x seconds is given by The height of a fly after x seconds is given by When is the bird below the fly?

What values must be considered when finding factors of

(all the factors of 18)

What is the degree of the quotient of

3 (quintic, degree 5 divided by quadratic, degree 2 is a cubic, degree 5 – 2 = 3)

Is this polynomial even, odd, or neither?

Even

Is this polynomial even, odd or neither?

Neither

Sketch the function. Label zeros.