Solving Polynomial Equations (Trial)

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

Let f(x) = 3x² - 9x +2.
Is k = -3 a zero of the function? (Prove by using synthetic division.

• yes
• no

Tags

CCSS.HSA.APR.B.2

Factor:
 f(x) = x³-12x²+47x-60=0 when 5 is a zero. (so f(5) = 0)

• (x-3)(x-4)(x-5)=0
• (x+1)(x-4)(x-5)=0
• (x-3)(x-4)(2x-5)=0
• (x-5)(x-4)(x-5)=0

Tags

CCSS.HSA.APR.B.2

What is the proper way to write the answer for the following problem? 

• 2x³-x²-25x-12
• 2x⁴-x³-25x²-12x+0

Tags

CCSS.HSA.APR.D.6

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

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

What are the x-intercepts of the polynomial
y = 3 (x + 4) (x + 1) (x - 3)?

• -4, -1, 3
• 3, -3, 4, 1
• 4, 1, -3
• 3, -4, -1, 3

Tags

CCSS.HSF-IF.C.7C

Solve x⁴ - 256 = 0

• x = 4, x = - 4
• x = 4, x = 4i
• x = 4, x -4, x = 4i
• x = 4, x -4, x = 4i,         x = -4i

Tags

CCSS.HSA-REI.B.4B

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = x³ + 2x² - 6x + 8

• ±1, ±8
• ±1, ±2, ±4, ±8
• ±1, ±2, ±4
• 1, 2, 4, 8

Tags

CCSS.HSA.APR.B.2

Below are four possible zeros for this polynomial.

Figure out which one "works"

f(x) = x³ + 2x² - 11x - 12

• -3

• -4

• 1

• 6

Tags

CCSS.HSF-IF.C.7C