Simplify. - 4(x+5) + 5x
2 answers:
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Answer:
y = -x + 9
Step-by-step explanation:
You are given (-5,14), (-2,11), (1,8), and (4,5). Your first objective is to find the slope.
Slope is delta y divided by delta x - the amount of height the graph gains divided by the amount of horizontal length the graph gains. Take any two points and plug it into this: .
i.e. (-2,11) and (4,5): which is
, or -1. Thus, the slope is -1.
We now have y = -1(x) + b, or just y = -x + b.
Next, find the y-intercept. Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0. We now know that the y-intercept is (0,y). To find the y-value, plug one of the coordinate pairs of choice into x and y.
i.e. (-5,14): 14 = (-1)(-5) + b
14 = 5 + b
14 - 5 = 5 + b - 5
9 = b
So, the y-intercept is (0,9).
Finally, the equation is:
y = -x + 9
The standard form is:
Degree = 5, leading coefficient=4
The 5th degree polynomial is:
Quintic function
it is a trinomial
<u>What is standard form of a polynomial?</u>
When expressing a polynomial in its standard form, the greatest degree of terms are written first, followed by the next degree, and so on.
So, standard form is:
To find the degree of the polynomial, add up the exponents of each term and select the highest sum ( if there are more than 1 variable in single term) or highest power of variable
Degree = 5
In a polynomial, the leading term is the term with the highest power of x.
So, leading coefficient=4
The 5th degree polynomial is:
Quintic function
It has 3 terms. so, it is a trinomial
To learn more about the standard form of a polynomial from the given link
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