Factorising polynomials

Factor completely.  3𝑥³y² – 2𝑥²y + 5xy

• y(3x³y-2x²+5)
• xy(3x²y-2x+5)
• x(3²y²-2xy+5y)
• 2xy(3/2x²y-x+5/2)

Factor the Following 4-Term Polynomial: 
 $3m^3-m^2+12m-4$  

•  $(m-1)(m+1)(3m-4)$  

•  $(m^2+4)(3m+1)$  

•  $(m-2)(m+2)(3m+4)$  

•  $(m^2+4)(3m-1)$  

When do you use grouping?

• When the ends are perfect squares
• When it is a binomial
• When it is a trinomial
• When the polynomial has four terms.

What is the first step when factoring?

• Find the GCF

• List all the terms

• Make the X and fill in the top and bottom

• Multiply a and c

Factor Completely

 $x^4+x$  

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

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

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

•  $x\left(x+1\right)^2$ 

• Prime Polynomial

Factor completely/simplify.

• 4(v+3)(3v²-7)

• (3v+4)(v²-2)

• 4v²(3v+4)(v²-2)

• 4v²(3v+4)

Factor Completely:

3x³ - 27x

Hint: Factor GCF first.

• 3x(x+3)(x-3)

• 3(x²+3x)(x²-3x)

• 3(x²+3)(x-3)

• 3x(x²-9)