Simplify: -11√21-11√/21
1 answer:
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Answer:
C.
Step-by-step explanation:
Domain is only affected if certain values can make the result something that either doesn't make sense or is an error. In your situation, it wants you to find the domain of f/g, which is a fraction. The only rule we have for fractions regarding domain is that we simply can't divide by zero, to find the domain for any fraction with variables in the denominator, what I do is take the denominator, set it equal to 0, and solve for x.
So, if we're taking f/g, we have:
4x - 3 makes up our denominator, the bottom part of the fraction. So
4x - 3 = 0
4x = 3
x = 3/4
So the denominator is equal to zero when x is equal to 3/4. This would produce an error in any calculator because you can't divide by zero. The domain here is all real numbers except for 3/4.
(For future problems, the only thing to look out for is if your numerator, the top part of the fraction, factors into something that cancels with the bottom. In that case, it wouldn't affect domain because you aren't actually dividing by anything. For example:
If we factor the top, we see that x^2 - 4 = (x - 2)(x + 2). In this case, we have (x - 2) in both the top and bottom of the fraction, so it cancels out, and from there nothing else is restricting our domain. It would be all real numbers in a case like that.)
Answer:
"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"
Step-by-step explanation:
We have the expression:
First, what does that expression represents?
As al the powers of x are positive numbers, we can see that this is a polynomial, and the largest power is 3, so this is a polynomial of degree 3, also called a cubic polynomial.
How many terms are there?
The terms are the things separated by + or - symbols, is easy to see that there are 3 terms.
What is the constant term?
The constant term is the term where the variable, x, does not appear, here the constant term is: -10
What is the leading coefficient?
The leading coefficient is the coefficient that multiplies the term with the largest power of x, in this case, we can rewrite:
the leading coefficient is:
(-1/6)
There is a part of the statement that I can't read, i suppose that there says:
"leading degree"
this is just the largest power of x that appears in the polynomial, in this case, is 3.
Then the complete statement is:
"The expression represents a cubic polynomial with 3 terms. The constant term is -10, the leading degree is 3, and the leading coefficient is (-1/6)"