2-6-24 Factoring Polynomials Notes

1. 1. P4 - A rectangular prism is subdivided into four smaller rectangular prisms as shown. The volumes of the smaller prisms are given below. Match them with their side measurements.

C. P4 - The combined width of the red and green prisms makes up the width of the

large prism. What is the width of the large prism?

Mathematical Equivalence

ON

D. P4 - Using the volume

of the yellow prism and the two shared dimensions, find the third dimension of

the yellow prism. What does this make the length of the large prism?

Mathematical Equivalence

ON

E. P5 - Use the fact that the volume of a prism is ℓ × w × h to write an expression for the volume of the large prism. Do not simplify the expression.

Mathematical Equivalence

ON

F. P5 - Simplify the expression you found in Part E.

Mathematical Equivalence

OFF

A. P5 - The GCF of the ​ (a)   8, -4, and -12 is ​ (b)   , and the GCF of the ​ (c)   parts x³, x², and x is ​ (d)   .

• coefficients
• 4
• variable
• x
• 2
• exponent

B. P5 - Because ​ (a)   is not a difference of squares, but ​ (b)   = ​ (c)   You can use the pattern for factoring a difference of squares to factor​ (d)   .

Mathematical Equivalence

OFF

Mathematical Equivalence

OFF