Zeros of a Polynomial

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

Tags

CCSS.HSF-IF.C.7C

f(x) = 2x³ - 3x² + 4x -10

What is the degree of f(x)?

• 3

• 2

• 1

• 0

What are the zeros of the function?

• 4,1
• 3,1,-2,-5
• -3, -1, 2, 5
• -2,4

Tags

CCSS.HSF-IF.C.7C

How many real zeros does the function have?

• None
• 2
• 3
• 4

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

The graph of a polynomial P(x) is given. What are the zeros of the function? Select all that apply.

• $x=-2$

• $x=-3$

• $x=-1$

• $x=0$

• $x=\frac{1}{2}$

Tags

CCSS.HSF-IF.C.7C

State the zeros of the function
 $f\left(x\right)=\left(x+5\right)\left(x-2\right)\left(3x+4\right)$   . 

Choose ALL that apply.

•  $x=5$  

•  $x=-5$  

•  $x=2$  

•  $x=-4$  

•  $x=-\frac{4}{3}$  

Tags

CCSS.HSF-IF.C.7C

Identify the zeros

• x=2, x=6, x=-4
• (x+2)(x+6)(x-4)
• (x-2)(x-6)(x+4)
• x=-2, x=-6, x=4

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

Use the graph of the polynomial. What could be a possible function to model this graph?

• $P\left(x\right)=\left(x+5\right)\left(2x+3\right)\left(x-2\right)$

• $P\left(x\right)=\left(x-5\right)\left(2x-3\right)\left(x+2\right)$

• $P\left(x\right)=\left(-5x\right)\left(\frac{3}{2}x\right)\left(2x\right)$

• $P\left(x\right)=\left(5x\right)\left(-\frac{3}{2}x\right)\left(-2x\right)$

Tags

CCSS.HSA.APR.B.3

Find the zeros of the polynomial.
f(x) = (x-5)(2x+3)(7x-4)(x+6)

• x = 5, (2/3), 6, (7/4)
• x= -5, (3/2), (-4/7), 6
• x= 5, (-3/2), (4/7), -6
• x= 6, 5, -2/3, -4/7

Tags

CCSS.HSF-IF.C.7C

Which function represents a graph with x-intercepts of 3, 5, and -2?

   $f\left(x\right)=$  

•  $\left(x-3\right)\left(x-5\right)\left(x+2\right)$ 

•  $\left(x+3\right)\left(x+5\right)\left(x-2\right)$ 

Tags

CCSS.HSA.APR.B.3