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The polynomial is in standard form if the exponents are arranged in decreasing order.
Polynomial is an algebraic expression with one or more terms. For example :. In this example and in your exercise the exponents of the terms are not arranged in order.
Um polynomial is in <u>Standard Form</u> when the exponents of the terms are in decreasing order. See more details below.
is not in standard form because the exponents are not written in decreasing order.
is in standard form because the exponents are written in decreasing order.
Therefore, the given polynomial will be in standard form if yours exponents are arranged in decreasing order.
Read more about polynomials here:
Answer:
<h2>10, 7.5, 5.625, 4.21875, ...</h2><h2>160, 40, 10, 2.5, ...</h2><h2>20, 70, 245, 857.5, ...</h2><h2>5, 5.5, 6.05, 6.655, ...</h2>Step-by-step explanation:
Given:
The function is:
To find:
Express the quadratic equation in the form of , then state the minimum or maximum value,axis of symmetry and minimum or maximum point.
Solution:
The vertex form of a quadratic function is:
...(i)
Where, a is a constant, (h,k) is the vertex and x=h is the axis of symmetry.
We have,
It can be written as:
Adding and subtracting square of half of coefficient of x inside the parenthesis, we get
...(ii)
On comparing (i) and (ii), we get
Here, a is negative, the given function represents a downward parabola and its vertex is the point of maxima.
Maximum value = 10.125
Axis of symmetry :
Maximum point = (1.75,10.125)
Therefore, the vertex form of the given function is , the maximum value is 10.125, the axis of symmetry is
and the maximum point is (1.75,10.125).