Why do we call real solutions zeros?
2 answers:
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Answer:
Yes, I agree
Step-by-step explanation:
For the cubic function
A cubic function is represented as:
A cubic function may have 1, 2 or 3 x intercepts. This is shown below
For 3 x intercepts
Equate y to 0
Expand
Express as difference of two squares
<em>x = 0 or 1 or -1</em>
For 2 x intercepts
Equate y to 0
Expand
<em>x= 5 or x = -7</em>
For 1 x intercept
Equate y to 0
Take cube roots of both sides
It has been shown above that a cubic function may have 1, 2 or 3.
So, I agree to the statement
For the quadratic function
A quadratic function will not have any x intercept when the function can not be factorized;
E.g.
<em>The above function has no x intercept.</em>
A quadratic function will have at least 1 x intercept when the function can be factorized;
E.g.
Equate y to 0
Expand
We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)
Hence, I agree to both statement
You have a lot of questions here, I can help you with a few of them.
When you simplify the polynomials, you put together all of the terms that have the same degree. That means the variables have the same exponents. The number of terms are the items separated by plus and minus signs.
Here are the answers for the first three:
1)
2)
3)
When you simplify the polynomials, you put together all of the terms that have the same degree. That means the variables have the same exponents. The number of terms are the items separated by plus and minus signs.
Here are the answers for the first three:
1)
2)
3)