Finding Roots by Synthetic & Factoring

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

The degree of the polynomial determines the number of roots.

• True
• False

Tags

CCSS.HSN.CN.C.9

-3x²+x+4=0
How many roots does this equation have?

• 2
• 1
• 0
• 4

What are the zeros of the function?

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

Tags

CCSS.HSA.APR.B.3

What are the three factors for
 (x³ +7x² +7x -15) ÷ (x -1)?

• (x-1) (x+5) (x-3) 
• (x-1) (x+5) (x + 3) 
• (x+1) (x+5) (x-3) 
• (x+1) (x-5) (x-3) 

Tags

CCSS.HSA.APR.B.2

Find all the real zeros of the function 
f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor.

• x = 1/2, -6
• x = -1/2, 6
• x = 4, -1/2, 6
• x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2

Find all the zeros, given that f(-3) = 0
f(x) = 2x³+5x²-6x-9

• -1,-3,-3
• -1,-3,3/2
• 3,3,3
• -3,2/3,-1

Tags

CCSS.HSF-IF.C.7C

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

• x = -4, x = 3, x = -2

• x = -4, x = 3, x = 2

• x = -4, x = -3, x = 2

• x = 4, x = 3, x = 2

Tags

CCSS.HSF-IF.C.7C

Factor f(x)= x³ - 2x²-13x - 10  given that
(x - 5) is one factor.

• (x- 5)(x - 1)(x - 2)
• (x - 5)(x + 2)(x - 2)
• (x - 5)(x + 2) (x + 1)
• (x - 5)(2x - 13)

Tags

CCSS.HSA.APR.B.2

Find all solutions, one factor has been given.

f(x) =x³-3x²-25x+75; (x-5)

• 5,-3,5

• 5,5,5

• 3,-5,5

• 1,1,1

Tags

CCSS.HSA.APR.B.2