Factoring polynomials

Factor Completely: x²-17x+72

• (x-9)(x+8)
• (x-9)(x-8)
• x(x-3)
• (x+9)(x+8)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Tags

CCSS.HSA.APR.C.4

Solve

 $x^{3\ }-\ 27$  

•  $x\ =\ 3\ \ \ x\ =\ \frac{-3\pm3i\sqrt{3}}{2}$  

•  $x=-3\ \ \ x\ =\ \frac{3\pm3i\sqrt{3}}{2}$  

•  $x=3\ \ \ \ x\ =\ \frac{-3\pm3\sqrt{3}}{2}$  

solve:  

 $x^{4\ }-\ 4x^{2\ }+3$  

•  $x=-1,\ \ 1,\ \ i\sqrt{3},\ -i\sqrt{3}$  

•  $x\ =\ 1,\ -1,\ \ \sqrt{3,}\ \ \ -\sqrt{3}$  

•  $x=1\ \ \ x\ =\ -3$  

Solve

 $x^{4\ }-\ 10x^{2\ }+\ 9\ =\ 0$  

•  $x=i,\ \ x=-i,\ \ x\ =3i,\ \ x=-3i$  

•  $x=\ 1,\ x=-1,\ x=3i,\ x\ =\ -3i$  

•  $x=\ 1,\ x\ =\ -1,\ x=\ 3,\ \ x\ =\ -3$  

Solve

f(x) = x³ - 5x² - 25x + 125

• x = 5, -5

• x = 5i, -5i, 5

• x = -5, 5, 5

• x = 5, 25, -25

solve:  

 $x^{3\ }+\ 27\ =\ 0$  

•  $x=3,\ \ \ x\ =\ \frac{-3\pm3i\sqrt{3}}{2}$  

•  $x=-3\ \ \ \ \ x\ =\ \frac{3\pm3i\sqrt{3}}{2}$  

•  $\left(x-3\right)\left(x^{2\ }-3x+9\right)$  

Solve:  

 $x^{4\ }+5x^{2\ }+4\ =\ 0$  

•  $x\ =\ i,\ -i,\ 2,\ -2$  

•  $x=\ 1,\ -1,\ 2,\ -2$  

•  $x=i,\ -i,\ 2i,\ -2i$  

Solve:  

 $x^{3\ }+\ 4x^{2\ }+\ 9x+36\ =\ 0$  

•  $x=-4,\ 3,\ -3$  

•  $x=-4,\ 3i,\ -3i$  

•  $x\ =\ -9,\ -4$  

Solve: 

 $2x^{3\ }+\ 3x^{2\ }-\ 26x-39\ =0$  

•  $x=\pm\sqrt{13},\ -\frac{3}{2}$  

•  $no\ solution$  

•  $x=\sqrt{13},\ \ \frac{3}{2}$  

•  $x\ =\ \pm\sqrt{13},\ \ \frac{3}{2}$