Answer:
Step-by-step explanation:
Theorm-The Fundamental Theorem of Algebra: If P(x) is a polynomial of degree n ≥ 1, then P(x) = 0 has exactly n roots, including multiple and complex roots.
Let's verify that the Fundamental Theorem of Algebra holds for quadratic polynomials.
A quadratic polynomial is a second degree polynomial. According to the Fundamental Theorem of Algebra, the quadratic set = 0 has exactly two roots.
As we have seen, factoring a quadratic equation will result in one of three possible situations.
graph 1
The quadratic may have 2 distinct real roots. This graph crosses the
x-axis in two locations. These graphs may open upward or downward.
graph 2
It may appear that the quadratic has only one real root. But, it actually has one repeated root. This graph is tangent to the x-axis in one location (touching once).
graph 3
The quadratic may have two non-real complex roots called a conjugate pair. This graph will not cross or touch the x-axis, but it will have two roots.
Answer:
36 and -1/8
Step-by-step explanation:
x^2 = 3^2 = 9 * 4 = 36
y^-3 = (-2)^-3 = -1/8
So I'll start with the mixed number to improper fraction.
Step one - multiply the denominator and the whole number.
Step two- take your product and add it to the numerator
Step three- the sum is the numerator of the mixed number and the original denominator is the denominator
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Now for improper fraction to mixed number
Step one- see how many times the denominator goes into the numerator (ex. 2 goes into 9, 4 times With one left over)
Step two -the 4 becomes the whole number and the 1 the numerator
Step three- use the same denominator
The axis of symmetry is x=-1
