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Why the graph of a polynomial function with real coefficients must have a y-intercept but may have no x-intercept?
For a polynomial of the form y = p(x) (i.e., some polynomial function of x), having a y-intercept simply means that the polynomial is defined for x = 0 - and a polynomial is defined for any value of "x". As for the x-intercept: from left to right, a polynomial of even degree may come down, not quite reach zero, and then go back up again. A simple example is y = x2 + 1. Why is the situation for "x" and for "y" different? Well, the original equation is a polynomial in "x"; but if you solve for "x", you don't get a polynomial in "y".
What is the definition of standard form of a polynomial?
The form that has the powers sorted in order from highest on the left to lowest on the right.
How do you solve equations in math?
you use PEMDAS which is parentheses exponents multiplication and division from left to right addition and subtraction from left to right
In order of operation what comes after expontes?
after exponents comes multiplication and/or division from left to right depending on which comes first in the problem. the comes addition and/or subtraction from left to right depending on which comes first in the problem parentheses exponents multiplication division addition subtraction another way to remember order of operations is: please = parentheses excuse = exponents my = multiplication dear = division aunt = addition sally = subtraction
When does the graph of a line go down to the right?
Amongst polynomial graphs, it is when the coefficient of the highest power of the variable (x) is negative.
What is prime factorization of 19 using exponents?
19 is a prime number in its own right and needs no exponents
What is prime factorization of 11 using exponents?
11 is a prime number in its own right and needs no exponents
How is the periodic table arranged from left to right?
The periodic table is arranged from left to right in the order of atomic numbers.
What is exponents?
it is a number on the top right of the number which shows how many times to multiply the base by itself. for example: 23=2x2x2 2 is the base, 3 is the exponent.
What is the proper position of chips in damath polynomial?
In Damath, a mathematical board game, the proper position of chips in the polynomial section is determined by the value of the polynomial expression being evaluated. Each chip represents a numerical value, and they are placed in the corresponding positions based on the coefficients and exponents of the terms in the polynomial. The chips are typically arranged in a row, with each chip representing a term in the polynomial expression, and their positions help players visually understand the algebraic operations being performed. Proper positioning of chips ensures accurate representation and manipulation of polynomial expressions during gameplay.
What is a sentence for the word arrange?
a sentence for the word arranged would be... I have arranged everything in my room to be in the right place.
Why the graph of a polynomial function with real coefficients must have a y-intercept but may have no x-intercept?
For a polynomial of the form y = p(x) (i.e., some polynomial function of x), having a y-intercept simply means that the polynomial is defined for x = 0 - and a polynomial is defined for any value of "x". As for the x-intercept: from left to right, a polynomial of even degree may come down, not quite reach zero, and then go back up again. A simple example is y = x2 + 1. Why is the situation for "x" and for "y" different? Well, the original equation is a polynomial in "x"; but if you solve for "x", you don't get a polynomial in "y".
What are the exponents and bases?
Exponents are numbers that simplify the amount of times a number multiplies by itself. For example, 5^3 would be equal to 5x5x5 which equals 125. In that same number, 5 would be the base and 3 would be the exponent, (aka) the little number on the top right of another number. And yes, exponents CAN have exponents.
What is a sentence for decrease?
You can decrease your weight by eating right and exercising. my prediction is that the weather will decrease by the minute. if you do not study for the upcoming math test your grades will decrease.
How do you find scientific notation?
Move the decimal to the right for positive exponents, and the left for negative exponents. 1.23 x 10^3 = 1230 1.23 x 10^-3 = 0.00123
What is the name of the cells arranged from left to right on Excel?
a row
What is the definition of standard form of a polynomial?
The form that has the powers sorted in order from highest on the left to lowest on the right.
