Describe how you would sketch a quick graph of a polynomial if it was given in factored form ( p(x)=(x-a)(x-a)(x-c)...) versus if it was given in standard form ( p(x) =ax^n+bx^n01+cx^n-2…+d ).

The function, f(x) =x³ + x² – 13x + 3 has an x-intercept at x = 3. Use polynomial division to factor this polynomial and determine the other roots if they exist. Show your work! Leave answer(s) in exact form.

Sketch the following polynomials. Include all your work, including how you computed: the y- intercept, the x-intercepts, whether the graph is above or below the x-axis, and the end-behaviour of the polynomial. (a) f(x) = x6 – 2x³ + 1 (b) g(x) = (2xª + 3x³ – - 16x – 24)2

find the maximum number of real zeroes of the polynomial  f(x)=-2x7-3x8-6-5x5