P = potato C = corn
3P + 4C = $40
5P + 2C = $34
Multiply -2 to the 2nd equation to get
-10P - 4C = -68
Add it to the 1st equation
3P + 4C = 40
-10P - 4C = -68
-----------------------
-7P = -28
Solve for P
P = $4
Substitute 4 into P(potato) to find what C(corn) is
The polynomial functions in their expanded form is given as follows. It is right to state that there are no breaks in the domain of h(x).
<h3>
What is a polynomial function?</h3>
In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable.
For instance, the polynomial 3x+4 has an exponent of 1.
Part A: F(x) has zero at 2 and multiplicity of 1; and
1 at the multiplicity of 2
f(x) = x-2) (x-1)²
= (x-2) (x² - 2x + 1)
= x³ - 4x² + 5x -2
Part B: h (x) = ![\left \{ {{x^3 -4x^2 + 5x -2; X < 0} \atop {\sqrt[3]{x-2} ; X\geq 0 }} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Bx%5E3%20-4x%5E2%20%2B%205x%20-2%3B%20X%20%3C%200%7D%20%5Catop%20%7B%5Csqrt%5B3%5D%7Bx-2%7D%20%3B%20X%5Cgeq%200%20%7D%7D%20%5Cright.)
The domain of X is X ∈ R
Hence it is correct to state that there are no breaks in the domain of h(x).
Learn more about polynomial functions:
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