#7.4 Solving Polynomial Equations in Factored Form

Solve the equation

 $x\left(x-5\right)=0$  

•  $x=0$  

•  $x=5$  

•  $x=0$  and  $x=5$  

• No solution

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve the equation

 $6d\left(d+8\right)=0$  

•  $d=0$  and  $d=-8$  

•  $d=6$  and  $d=-8$  

•  $d=0$  and  $d=8$  

•  $d=6$  and  $d=8$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve the equation

 $\left(x-3\right)\left(x+5\right)=0$  

•  $x=-3$  and  $x=5$  

•  $x=3$  and $x=-5$  

•  $x=3$  

•  $x=-15$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve the equation

 $\left(3x+6\right)\left(2x-10\right)=0$  

•  $x=-2$  and  $x=5$  

•  $x=2$  and $x=-5$  

•  $x=-6$  and  $x=10$  

•  $x=6$  and $x=-10$  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Solve the equation

 $\left(y-10\right)^2=0$  

•  $x=-10$  and  $x=5$  

•  $x=10$  

•  $x=-10$  

•  $x=10$  and  $x=-10$  

Tags

CCSS.HSA.REI.B.4

Find the x-coordinates of the points where the graph crosses the x-axis

• 
  

  $x=-5$ and $x=5$
  

• $x=-25$

• $x=-6$ and $x=6$

• $x=-4$ and $x=4$

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

Find the x-coordinates of the points where the graph crosses the x-axis

• 
  

  $x=-4$ and $x=4$
  

• $x=-6$

• $x=-2$ and $x=4$

• $x=-4$ and $x=2$

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

Factor the polynomial

 $4t^2+12t$  

•  $4\left(t^2+t\right)$  

•  $4t\left(t+3\right)$  

•  $12t\left(t+1\right)$  

•  $3t\left(t+4\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the polynomial

 $10k^3-15k^2$  

•  $2k^2\left(5k-7\right)$  

•  $15k^3\left(k-1\right)$  

•  $10k\left(k^2-5\right)$  

•  $5k^2\left(2k-3\right)$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Solve the equation

 $3t^2-t=0$  

•  $t=0$  and $t=3$  

•  $t=0$  and $t=\frac{1}{3}$  

•  $t=1$  and $t=3$  

•  $t=1$  and $t=\frac{1}{3}$  

Tags

CCSS.HSA.REI.B.4