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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".
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
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.
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.
