Math 10Unit 1: Factoring (Review)

Polynomial and Factoring Review

Topics Covered:

1. Prime Factors2. Greatest Common Factor and Lowest Common Multiple3. Determining Square and Cube Roots using Factor Trees4. Polynomials:

Multiplying Polynomials Questions involving Area

5. Factoring: Common Factors (Always look for a common factor first)

Difference of Squares: a2−b2=(a−b )(a+b )

Easy Trinomials x2+bx+c

Hard Trinomials ax2+bx+c

Perfect Square Trinomials

Write the following as a product of prime factors:

360

Determine the Lowest Common Multiple

45 and 54

Math 10Unit 1: Factoring (Review)Use Prime Factors to find the square root of 324

A floor measures 10 ft by 25 ft. It is to be covered with square tiles. What is the size of the largest possible tile that would evenly cover the entire floor? How many tiles would be needed to cover the entire floor?

Polynomials: Expand and simplify

a) (2 x−3)( x+2)( x−1 ) b) (2x+1 )(x−4 )+(x−3)( x−5 )

Find the area of the shaded region

3 x+2

2 x−33 x−5

3 x−6

10 ft

25 ft

Math 10Unit 1: Factoring (Review)

Find k so that the following will be a perfect square trinomial

a) 25 x2+kx+64 b) 49 x2−kxy+9 y2

Factoring:

a) 8 y2+22 yx b) x2−12 xy+20 y2

c) 5 x4−80 d) 2a5−26a3+72a

e) 3 x2−10 x−8 f) 12 x3−6 x2 y−18 xy 2