Polynomials

Multiple Select

What are the intervals where f(x)<0?

• x < -2

• -2 < x < 0

• 0 < x < 1

• 1 < x < 2

• x > 2

Multiple Choice

Which is more important in finding the solution for inequalities?

• X - intercepts (zeros)

• Y - intercepts (heroes)

• slopes or gradients

• my phone 😭

• love 😍

Multiple Select

State the interval where f(x)>0

• x < -1

• -1 < x < 2

• 2 < x < 4

• x > 4

Multiple Select

State the interval where f(x) is positive.

• $$\left(-\infty,-2\right)$$

• $$\left(-2,2\right)$$

• $$\left(2,\infty\right)$$

• ( 0 , 3)

Multiple Select

So $$\left(x-1\right)\left(x+1\right)>0$$ . What will be the intervals that satisfy the given inequality?

• x>1

• x<-1

• -1 < x < 1

• x < 1

• x > -1

Multiple Choice

What is the correct intervals for the following inequality?
$$\left(x+3\right)\left(x-4\right)<0$$

• x < -3

• -3 < x < 4

• x > 4

• x > -3

• x < 4

Multiple Select

Solve $$x^{2\ }-6x+9\ge16$$

• $$x<-1$$

• $$-1\le x\le7$$

• $$x>7$$

• $$x\le-1$$

• $$x\ge7$$

Multiple Select

Where does Saya live?

• in Thanlyin

• in universe

• at his house

• beside his neighbours'

• anywhere

Draw

What will be the graph of y= $$\left(x+3\right)\left(x-1\right)\left(x-6\right)$$ ?

Multiple Select

So what will be the solution for $$\left(x+3\right)\left(x-1\right)\left(x-6\right)>0?$$

• x < -3

• -3 < x < 1

• 1 < x < 6

• x > 6

Multiple Select

So what will be the solution for $$\left(x+3\right)\left(x-1\right)\left(x-6\right)<0?$$

• x < -3

• -3 < x < 1

• 1 < x < 6

• x > 6

Draw

What will be the graph of $$y=-3x\left(x+7\right)\left(x-2\right)$$ .

This time, draw the axes on your own. I am getting lazy.

Multiple Select

The solution for $$-3x\left(x+7\right)\left(x-2\right)<0\ is$$

• x > -7

• x < -7

• -7 < x < 0

• 0 < x < 2

• x > 2

Multiple Choice

Choose the correct graph for $$y=x^3+4x^2+x-6$$

Multiple Select

So choose the correct values for
$$x^3+4x^2+x<6$$

• x < -3

• -3 < x < -2

• -2< x < 1

• x > 1

Multiple Select

What is the solution set for $$x^4-5x^2+4>0$$ . Think about the graph on your own.

• x < -2

• -2 < x < -1

• -1 < x < 1

• 1 < x < 2

• x > 2

Multiple Select

See the diagram for figure

• x < -1

• -1 < x < 1

• 1 < x < 2

• x>2