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A system that will produce infinitely many solutions will have the property where all the equations overlap. That means they will have the same slope and y-intercept.
An easy way to determine if they will produce infinitely many solutions is to put all the equations into
form. If everything is the same, you know it will have infinite solutions.
An easy way to determine if they will produce infinitely many solutions is to put all the equations into
Answer:
The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is .
Step-by-step explanation:
From Fundamental Theorem of Algebra, we remember that the degree of the polynomials determine the number of roots within. Since we know three roots, then the factorized form of the polynomial function with the lowest degree is:
(1)
Where ,
and
are the roots of the polynomial.
If we know that ,
and
, then the polynomial function in factorized form is:
(2)
And by Algebra we get the standard form of the function:
(3)
The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is .