Factoring Polynomials Leading Coefficient 1

Of the list below, what operation do we NOT use when factoring polynomials? ax² + bx + c

• List the factors of the constant c

• Add the factors of constant c to find bx

• Divide the factors of constant c

• Subtract the factors of constant c when dealing with positives and negatives

What is the first step in factoring this problem?

• Multiply

• Add the factors of 7

• List the factors of 7

• Factor out the GCF

What is the first step in factoring this problem? n² − 11n + 10

• Factor out the GCF

• Multiply

• Add the factors of 10

• List the factors of 10

Factor
x² - 9x + 18 

• (x - 6)(x - 3) 

• (x + 6)(x - 3)

• (x - 9)(x - 2)

• (x - 6)(x + 3) 

Factor
n² + 16n + 63

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

Factor completely
k²+7x+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

x² + 8x - 20

• (x + 10) (x - 2)

• (x + 10) (x + 2)

• (x + 5) (x + 4)

• (x + 5) (x - 4)

x² - 9x + 18

• (x + 6) (x + 3)

• (x - 6) (x - 3)

• (x - 2) (x - 9)

• (x + 2) (x + 9)

x² - 9x - 22

• (x + 11) (x - 2)

• (x + 2) (x - 11)

• (x - 11) (x - 2)

• (x + 2) (x + 11)

x² + 6x - 27

• (x + 3) (x - 9)

• (x + 9) (x + 3)

• (x - 9) (x - 3)

• (x + 9) (x - 3)