For a polynomial function $p\left(x\right)$, what is its domain?

Graph the following on the same coordinate system.

(a) y = (x - 2)²

(b) y = (x + 1)²

(c) y = (x + 3)²

(d) How do these graphs differ from the graph of y = x²?

Graph each polynomial function. Factor first if the polynomial is not in factored form. ƒ(x)=x²(x-5)(x+3)(x-1)

The following exercises are geometric in nature and lead to polynomial models. Solve each problem. A certain right triangle has area 84 in.². One leg of the triangle measures 1 in. less than the hypotenuse. Let x represent the length of the hypotenuse. Express the length of the leg mentioned above in terms of x. Give the domain of x.

Solve each problem. A comprehensive graph of ƒ(x)=x⁴-7x³+18x²-22x+12 is shown in the two screens, along with displays of the two real zeros. Find the two remaining nonreal complex zeros.

Determine if the given function is a polynomial function. If so, write in standard form, then state the degree and leading coefficient. $f\(\left\)(x\(\right\))=4x^3+\(\frac\)12x^{-1}-2x+1$

Determine if the given function is a polynomial function. If so, write in standard form, then state the degree and leading coefficient. $f\(\left\)(x\(\right\))=2+x$

Determine if the given function is a polynomial function. If so, write in standard form, then state the degree and leading coefficient. $f\(\left\)(x\(\right\))=3x^2+5x+2$