The fundamental theorem of algebra states that a polynomial with degree n has at most n solutions. The "at most" depends on the fact that the solutions might not all be real number.
In fact, if you use complex number, then a polynomial with degree n has exactly n roots.
So, in particular, a third-degree polynomial can have at most 3 roots.
In fact, in general, if the polynomial
has solutions
, then you can factor it as

So, a third-degree polynomial can't have 4 (or more) solutions, because otherwise you could write it as

But this is a fourth-degree polynomial.
Answer:

Step-by-step explanation:
Quadrant II is the top left cornered <em>square</em>, so this coordinate is the one you would pick.
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Answer:
x = 1
y = -1
Point = (1,-1)
Step-by-step explanation:
2x + 3y = -1 = y = -2/3 - 1/3
5x + 2(-2/3 - 1/3) = 3
5x - 1 1/3 - 2/3 = 3
5x - 2 = 3
<u> +2 +2</u>
5x = 5
<em><u>x = 1</u></em>
2(1) + 3y = -1
2 + 3y = -1
<u>-2 -2</u>
3y = -3
<em><u>y = -1</u></em>
Answer:
731.48
Step-by-step explanation:
you take 6 percent form 100 percent with give 94 percent
then you times 1200 by 94 percent 8 times to get answer
Answer: 13
Step-by-step explanation:
<u>Given:</u>
a+b+c, where a=3, b=2, c=7
<u>Solve:</u>
Given
a+b+c
Substitute values into the expression
=(3)+(2)+(7)
Combine like terms
=6+7
=13