11 - Factoring & Solving Higher Order Polynomials

Solve

2x³ - 19x² + 38x + 24=0 given that (x-4) is a factor.

• x = 1/2, -6, 4

• x = -1/2, 6, -4

• x = 4, -1/2, 6

• x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2

Solve

x³ +7x² +7x -15=0 given that (x -1) is a factor

• 1, -5, 3

• 1, -5, -3

• -1, -5, 3

• -1, 5, 3

Tags

CCSS.HSA.APR.B.2

Solve the equation if you know (x-5) is a factor.

x³ - 5x² + 2x - 10=0

• $5,\ \pm\sqrt{2}$

• $5,\ \pm i\sqrt{2}$

• $-5,\ \pm\sqrt{2}$

• $-5,\ \pm\sqrt{2}$

Solve

x⁴ + 7x² - 30=0

• $\pm i\sqrt{10},\ \pm\sqrt{7}$

• $\pm\sqrt{10},\ \pm i\sqrt{3}$

• $-10,\ -10,\ -3,\ -3$

• $\pm i\sqrt{10},\ \pm\sqrt{3}$

Tags

CCSS.HSA-REI.B.4B

Solve

a⁴ - a² - 12=0

• $\pm2,\ \pm i\sqrt{3}$

• $\pm\sqrt{6},\ \pm2$

• $\pm\sqrt{6},\ \pm2i$

• $\pm2i,\ \pm\sqrt{3}$

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

Solve: x⁴+6x³+9x²+54x=0

• 0, 6, 3, -3

• 0, -6, 3, -3

• 0, -6, 3i, -3i

• 0, 6, 3i, -3i

Tags

CCSS.HSF-IF.C.7C

Solve the following equation:

x⁴ + x² - 90 = 0

• 3, -3, ±√10

• 3, -3

• ±√10

• 3

Tags

CCSS.HSA-REI.B.4B

Given that (x-1) is a factor, solve:
 $x^5-x^4+5x^3-5x^2-36x+36=0$  

•  $1,\ -3,\ -3,\ 2,\ 2$  

•  $1,\ \pm2i,\ \pm3$  

•  $1,\ -9,\ 4$  

•  $1,\ \pm3i,\ \pm2$  

Tags

CCSS.HSA.APR.B.2

Given that (x+2) is a factor, solve
 $x^4+5x^3-6x^2-60x-72=0$  

•  $-2,\ \pm3\sqrt{2},\ -3$  

•  $-2,\ \pm2\sqrt{3},\ -3$  

•  $-2,\ \pm\sqrt{3},\ 12$  

•  $2,\ \pm2i\sqrt{3},\ 3$  

Tags

CCSS.HSA.APR.B.2

 $\lim_{x\rightarrow3^-}f\left(x\right)=$  

•  $\infty$  

•  $-\infty$  

• 0

• c