WEEK 1

WHAT ARE THE FACTORS OF

 $x^2+4x+4$  

•  $\left(x+1\right)\left(x+3\right)$  

•  $\left(x-1\right)\left(x+3\right)$  

•  $\left(x+2\right)\left(x+2\right)$  

•  $\left(x+2\right)\left(x-2\right)$  

WHAT DO YOU CALL THIS POLYNOMIAL?

 $a^2-b^2$  

• DIFFERENCE OF TWO SQUARES

• PERFECT SQUARE TRINOMIAL

• SUM OF TWO CUBES

• DIFFERENCE OF TWO CUBES

FIND THE FACTORS OF

 $x^2-36$  

•  $\left(x+3\right)\left(x-3\right)$  

•  $\left(x-3\right)\left(x-3\right)$  

•  $\left(x+6\right)\left(x-6\right)$  

•  $\left(x-6\right)\left(x-6\right)$  

ONE FACTOR OF  $y^3-64$  IS  $\left(y-4\right)$  , WHAT IS THE OTHER FACTOR?

•  $y^2-4y+16$  

•  $y^2+4y+16$  

•  $\left(y+4\right)$  

•  $\left(y-4\right)$  

FIND THE FACTORS OF $x^2+3x+2$  

•  $\left(x+1\right)\left(x-1\right)$  

•  $\left(x+1\right)\left(x^2-x+1\right)$  

•  $\left(x+3\right)\left(x+1\right)$  

•  $\left(x+1\right)\left(x+2\right)$  

WHAT DO YOU CALL THE RATIO/QUOTIENT OF POLYNOMIALS?

• FACTORS

• RATIONAL ALGEBRAIC EXPRESSIONS

• PRODUCT

• SIMPLIFYING

WHICH OF THE FOLLOWING IS A RATIONAL ALGEBRAIC EXPRESSION

• $x+2$

• $2sk\ +3s$

• $\frac{\text{2d}}{\text{}y}$

• $\frac{1}{y^{-3}}$

ILLUSTRATE A RATIONAL EXPRESSION WHOSE NUMERATOR IS $x-9$ AND DEMONINATOR IS $x^2-81$   

•  $\frac{\left(x-9\right)}{x^2-81}$  

•  $\frac{\left(x^2-81\right)}{x-9}$  

•  $\left(\frac{x}{9}\right)\left(\frac{x^2}{81}\right)$  

•  $\left(x-9\right)\left(x^2-81\right)$  

SIMPLIFY  $\frac{x^5y^2z}{x^2y^4}$  

•  $x^3y^2z$  

•  $\frac{1}{x^3y^2z}$  

•  $\frac{y^2}{x^3}$  

•  $\frac{x^3z}{y^2}$  

 $\frac{t+1}{t^2-1}$  

SIMPLIFY

•  $\frac{1}{t-1}$  

•  $t-1$  

•  $\frac{1}{t+1}$  

•  $t+1$