# Lesson Worksheet: Polynomial Equations Mathematics

In this worksheet, we will practice using different strategies for solving polynomial equations of degree greater than two.

Q1:

Solve the equation .

• A, , ,
• B, , ,
• C, , ,
• D, , ,
• E, , ,

Q2:

By factoring, find all the solutions to , given that and are factors of .

• A, , ,
• B, , ,
• C, , ,
• D, ,
• E, , ,

Q3:

Solve the equation .

• A, , ,
• B, , ,
• C, , ,
• D, , ,
• E, , ,

Q4:

Given that is in , find the value of which satisfies the following equation . Give your answer to the nearest hundredth.

• A, or
• B
• C
• D or

Q5:

Find the solution set of the equation in .

• A
• B
• C
• D
• E

Q6:

Michael needs to produce lidless square-based boxes with a height of 4 inches and a volume of 320 cubic inches. He uses the net as seen in the given figure but needs to work out the value of . Find , giving your solution to two decimal places. Q7:

An engineering company makes some aluminum cubes for a customer. Each cube has a surface area of cm2 and a volume of cm3. What is the length of the side of each cube?

Q8:

A customer has placed an order for some precision-engineered cubes, but part of the order form was destroyed in a paint-spilling accident. The only information we have is that each cube has a surface area of cm2 and a volume of cm3. What is the length of the side of each cube?

Q9:

A solid metal cuboid whose dimensions are cm, cm, and cm, was melted and made into small cubes. If the edges of the small cubes are cm, how many can be made from the melted cuboid?

Q10:

Given that , find .

• A8
• B
• C
• D9
• E81

Q11:

Find the solution set of in .

• A
• B
• C
• D