Algebra 2 Finding Zeros

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 2x³ + 5x² - 9x + 5

• ±1, 5, 1/2, 5/2
• ±1, 2, 5, 1/2, 5/2
• ±1, 5
• ±1, 2, 5, 1/2, 5/2, 2/5

Find all rational zeros, one zero has been given.
f(x) = 2x³+5x²-6x-9;   -3

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

The largest exponent determines the degree of the polynomial.

• True
• False

-3x²+x+4=0
How many roots does this equation have?
Hint: Use the Fundamental Theorem of Algebra

• 2
• 1
• 0
• 4

According to the Rational Root Theorem, what are the all possible rational roots? 
2x³ - 11x² + 12x + 9 = 0

• ±1,±2
• ±1,±3,±9
• ±1,±3±9,±1/2,±3/2,±9/2
• ±1,±2,±1/3,±2/3,±1/9,±2/9

Use the Remainder Theorem to find the remainder for the division problem:
(x³-2x²+6x-6)÷(x-3)

• 21
• 9
• -33
• 0

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

• x-intercept

• zero

• root

• all of these.

• solution

What does it mean to "find the zeros" of a quadratic?

• Plug in 0 and solve the expression.
• Factor then set each factor equal to zero and solve to find x-intercepts
• Set the expression equal to zero and solve 
• Factor then set each factor equal to zero and solve to find y-intercepts

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

• x-intercept

• zero

• root

• all of these.

What is the factored form of

x³ + 7x² - 2x -14 ?

• (x² - 2)(x - 7)

• (x² + 2)(x - 7)

• (x² + 2)(x + 7)

• (x² - 2)(x + 7)