The average price of a college math textbook is $158 and the standard deviation is $26. Suppose that 40 textbooks are randomly c
1 answer:
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Answer:
"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"
Step-by-step explanation:
We have the expression:
First, what does that expression represents?
As al the powers of x are positive numbers, we can see that this is a polynomial, and the largest power is 3, so this is a polynomial of degree 3, also called a cubic polynomial.
How many terms are there?
The terms are the things separated by + or - symbols, is easy to see that there are 3 terms.
What is the constant term?
The constant term is the term where the variable, x, does not appear, here the constant term is: -10
What is the leading coefficient?
The leading coefficient is the coefficient that multiplies the term with the largest power of x, in this case, we can rewrite:
the leading coefficient is:
(-1/6)
There is a part of the statement that I can't read, i suppose that there says:
"leading degree"
this is just the largest power of x that appears in the polynomial, in this case, is 3.
Then the complete statement is:
"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"
Answer:
x = 1 or x = ± i
Step-by-step explanation:
Note the sum of the coefficients
1 - 1 + 1 - 1 = 0
This indicates that x = 1 is a root, thus (x - 1) is a factor
Using long division or synthetic division, then
x³ - x² + x - 1 = (x - 1)(x² + 1), thus
(x - 1)(x² + 1) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x² + 1 = 0 ⇒ x² = - 1 ⇒ x = ± = ± i