There are 16 rows in the auditorium
In monetary terms, you're making change. If you need more ones, you trade one 10 for 10 ones.
When I was in school, many years ago, we used small superscript-type numbers to show this:
7 3 0 ⇒ 7 2 ¹0 . . . . regrouping to gain 10 ones
7 2 ¹0 ⇒ 6 ¹2 ¹0 . . .regrouping again to gain 10 more tens
You'd have to look at the example problems that precede this page in order to see what the meaning of "magnifying glass" is.
Answer:
x^4 - 14x^2 - 40x - 75.
Step-by-step explanation:
As complex roots exist in conjugate pairs the other zero is -1 - 2i.
So in factor form we have the polynomial function:
(x - 5)(x + 3)(x - (-1 + 2i))(x - (-1 - 2i)
= (x - 5)(x + 3)( x + 1 - 2i)(x +1 + 2i)
The first 2 factors = x^2 - 2x - 15 and
( x + 1 - 2i)(x +1 + 2i) = x^2 + x + 2ix + x + 1 + 2i - 2ix - 2i - 4 i^2
= x^2 + 2x + 1 + 4
= x^2 + 2x + 5.
So in standard form we have:
(x^2 - 2x - 15 )(x^2 + 2x + 5)
= x^4 + 2x^3 + 5x^2 - 2x^3 - 4x^2 - 10x - 15x^2 - 30x - 75
= x^4 - 14x^2 - 40x - 75.
The second table represents a non linear function because the x and y values when graphed do not line up along the line of best fit.
