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Factoring of Polynomials: Performance Task

This document provides 10 factoring problems for students to solve. The problems involve factoring polynomials that represent geometric shapes and their dimensions, including planes, cubes, cylinders, rectangles, and squares. Students are asked to factor expressions to find missing values like side lengths, widths, heights, and volumes. The final problem asks students to check a proposed factoring of an expression and suggest any needed changes.

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IRISH FERANGCO
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1K views2 pages

Factoring of Polynomials: Performance Task

This document provides 10 factoring problems for students to solve. The problems involve factoring polynomials that represent geometric shapes and their dimensions, including planes, cubes, cylinders, rectangles, and squares. Students are asked to factor expressions to find missing values like side lengths, widths, heights, and volumes. The final problem asks students to check a proposed factoring of an expression and suggest any needed changes.

Uploaded by

IRISH FERANGCO
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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CHAPTER 1: Factoring of Polynomials

Performance Task:
Apply the different factoring techniques in solving the following problems. Write legibly.

1. Find the length of the plane figure if its area is 63m2n+56mno+35 and has a width of 7.

2. A dice has six faces and each side has an area of x8+18x4+81, what is the measure of its side?

3. A rectangular box has an x height, 3x+4 width, and 5x+1 length. What is the volume of the
rectangular box?

4. The General decided to use a square table for the assembly tomorrow. If the area of the table is
169x2-1000, what expression can represent its side?

5. The length of a rectangle is three more than two times its width. If its area is 2x 2 + 27x + 88, and its
width is x – 8, find the length.

6. A square chalkboards was placed at the back of the conference room because it was already
replaced by a brand new rectangular white board. If the rectangular white board has an area of
9y2+16x+8. What are the measures of its length and width?

7. The volume of a wooden box is given by the V = 4s 3 + 22s2 + 24s. Write an expression that shows
the dimensions of the box in terms of sides.
Note; The volume of the box is given by the formula V = (side)3

8. The volume of a cylinder is given by the expression 2πv 3 + 12πv2 + 18πv. Factor the expression
completely. Then identify the expression that show the radius and height of the cylinder
Note; The volume of the cylinder is given by the formula V = π(radius)2(height)

9. A farmer has a square lot. He wanted to put a wall barrier around it, if its perimeter is 48x 2-80xy-68y2.
What is the expression that represents its side?
Note; The perimeter of the square is given by the formula P = 4(side)

10. Suppose that your friend factors 24x2y + 36xy like this ;
24x2y + 36xy = 4xy(6x + 9)
= (4xy) (3) ( 2x + 3)
= 12xy ( 2x + 3)
Is this correct? Would you suggest any changes? Support your answer with a solution.

[Date]
Saint Peter of Verona Academy
Junior High School Mathematics 8
Learning Module S.Y. 2020 – 2021 2
CHAPTER 1: Factoring of Polynomials

INSERT THE PHOTO


OF YOUR
SOLUTIONS HERE

[Date]
Saint Peter of Verona Academy
Junior High School Mathematics 8
Learning Module S.Y. 2020 – 2021 2

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