How to Find the zeros of a function

The video tutorial explains how to find the zeros of a function, which are the X values that make the function's output zero. It covers the significance of zeros as X intercepts and roots, and demonstrates finding zeros in linear, quadratic, and rational functions. The tutorial includes examples and techniques like factoring and grouping, and concludes with practice problems to reinforce learning.

What is the significance of zeros in a function?

• They are irrelevant in polynomial equations.

• They indicate the maximum points of a function.

• They are the points where the function's output is zero.

• They represent the y-intercepts of a graph.

In the function F(x) = x + 1, what is the zero?

• x = 0

• x = -1

• x = 2

• x = 1

Which method is used to factor quadratic equations in the video?

• Graphical method

• Diamond method

• Synthetic division

• Completing the square

What are the zeros of the quadratic equation F(x) = x^2 + 4x - 5?

• x = 1 and x = 5

• x = 0 and x = 5

• x = -1 and x = 5

• x = 1 and x = -5

How do you solve a rational function like 0 = x/7?

• Divide both sides by 7

• Add 7 to both sides

• Multiply both sides by 7

• Subtract 7 from both sides

What is the zero of the function F(x) = 8x + 3?

• x = 3/8

• x = -8/3

• x = -3/8

• x = 8/3

What is the result of factoring the expression 3x^2 - 9x - 7x + 21?

• (x + 3)(3x + 7)

• (x - 3)(3x - 7)

• (x - 1)(3x + 7)

• (x + 1)(3x - 7)

What is the first step in solving for zeros in a polynomial function?

• Set F(x) equal to the constant term

• Set F(x) equal to x

• Set F(x) equal to 0

• Set F(x) equal to 1

What is the zero of the function F(x) = x^2 - 1?

• x = 1

• x = ±1

• x = -1

• x = 0

What is the zero of the function F(x) = 12 - x^2?

• x = ±√6

• x = ±√12

• x = ±√2

• x = ±√3