Answer:
Step-by-step explanation:
7 = y/4
7*4 = y
y = 28
(x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15 as there is no remaider.
<h3>What is a factor of a polynomial?</h3>
We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given a polynomial function f(x) = x³ - x² - 17x -15.
If (x - 5) is it's factor then f(5) = 0.
∴ f(x) = x³ - x² - 17x -15.
f(5) = 5³ - 5² - 17(5) - 15.
f(5) = 125 - 25 - 85 - 15.
f(5) = 0.
So, the remainder is zero hence (x - 5) is a factor of the polynomial function f(x) = x³ - x² - 17x -15.
learn more about factor of a polynomial here :
brainly.com/question/26354419
#SPJ1
Answer: all real numbers
Step-by-step explanation:
7a + 1 = 8a - a + 1
7a + 1 = 7a + 1
a = all real numbers
Can you get a better shot of the problem?
If you would like to know how far is Julian from his starting position, you can calculate this using the following steps:
First, you have to make a right triangle, where the hypotenuse of this triangle will actually be the distance we are looking for. The distances of the other two sides are 444 kilometers, and 777 kilometers - 222 kilometers; to be exact: 444 kilometers and 555 kilometers.
The distance we are interested in ... d:
d^2 = 444^2 + 555^2
d^2 = 197136 + 308025 = 505161
d = sqrt(505161)
d = <span>710.7 kilometers
</span>
The correct result would be <span>710.7 kilometers.</span>
