Question

What is the difference between a factor of a quadratic equation and a zero of a quadratic equation?  

Answer 1

Generally speaking, a factor is the component of a quadratic equation that gives you a zero.

For example, if you have the quadratic equation \(x^2 - 4\), you can *factor* it into two parts:

\[x^2 - 4 = (x + 2)(x - 2)\]

\(x + 2\) and \(x - 2\) are the *factors*, and they give you the two *zeros*, which are 2 and -2. A zero is the value of x at which the parabola that the quadratic formula describes crosses the y axis (i.e., has a value of 0). A factor is a part of the equation. Multiplying all the factors together gives you the original equation.

Answer 2

Shadowfiend is correct, with one small "oops." The zeros are where the curve of the equation crosses the X-axis, not the y-axis. So in the example above, the parabola crosses the x-axis at 2 and -2; it crosses the y-axis at -4. (The constant term of a polynomial is always the y-intercept.)

Answer 3

Hah! Yes indeed, where it crosses the X axis. Thanks for the catch, LBickford :)

Answer 4

Luella has a pond in her yard. She wants to surround it with 330 feet of fencing. The fencing is sold by the yard. How many yards should she buy?

Answer 5

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Answer 6

https://i.imgur.com/Wjmpc6D.png

Answer 7

Assessment items
Assessment started: undefined.
Item 1

Read the passage.

Dark Star

Giselle leaned against the mahogany bay horse, stroking the white diam

Answer 8

Okay I was gone for a minute BUT I'M BACK NOW

Answer 9

the scatter plot presents Ray's monthly electricity bills and amount of time ray

Answer 10

Which word shares a connotative meaning with the word cheap as it is used in this sentence?

Ashley thought her parents were being cheap when they bought ge

Answer 11

Which revision fixes the dangling modifier in the sentence?

Rowing through the rapids, the canoe began to fill with water.

Answer 12

dangling modifier

Answer 13

Misplaced Modifiers

Answer 14

For which literary work did Joseph Heller use his military experiences as a prima

Answer 15

Calc III Tutorial: Lagrange Multipliers

Answer 16

Can someone translate this for me?

Answer 17

Find the interest due on $1,090 at 8% for 5 years.

43.60
68.13
436.00
681.25

Answer 18

Now identify the simple subject and simple predicate.

The meeting began promptly at seven o'clock.

Answer 19

What can be inferred from these lines describing the pardoner in Chaucer's prolog

Answer 20

What is the rate of change of the linear relationship modeled in the table?

x y

Answer 21

Which of these best identifies the shift of mood in this sentence?

"If you were to sit more comfortably, you will not fall off.

Answer 22

Which scenario best matches the linear relationship expressed in the equation y = u221214x + 1,700?

Kent has $1,700 in his bank account and spends $14 each

Answer 23

The saying "Whoso is a man must be a nonconformist" is based on whose transcendentalist belief?
A.