a To find the degree of a polynomial, we need to find the highest exponent of a variable in it. Consider the given function.
P(x)=0.08x^2+28x
In this case, the highest exponent is 2. This is the degree of the given polynomial function.
b Similarly as in Part A, let's find the highest exponent of a variable.
y=8x^2-1/7x^5+9
We can see that the highest exponent is 5. This is the degree of the given polynomial.
c Examining the given polynomial function, we can see that it is in factored form.
f(x)=5(x+3)(x-2)(x+7)We can find the highest exponent of a variable by rewriting the polynomial in standard form. To do so, we can use the Distributive Property.
Now that we have rewritten the polynomial in standard form, we can see that its highest exponent is 3.
f(x)=5x^3+40x^2+5x-210
Therefore, the degree of the polynomial is 3.
d Once again, the given polynomial function is in factored form.
y=(x-3)^2(x+1)(x^3+1)
To determine its degree, we will rewrite it in standard form. Note that the first factor is a square of a binomial. This allows us to write is as a trinomial.
