Use synthetic division to find the quotient and remainder when the first polynomial is divided by the second.x2 – 2x + 5, x – 7

Find a polynomial equation with real coefficients that has the given roots.5, -7

Use the analysis list below to sketch the graph of the function. Show Work. a) Vertical Asymptote(s) b) Horizontal/Oblique Asymptote c) y-intercept d) x-intercept(s) f(x) =

Use the rational zero theorem to find all possible rational zeros for the polynomial function.P(x) = 2×3 + 8×2 + 9x – 8

Use the analysis list below to sketch the graph of the function. Show Work. a) Vertical Asymptote(s) b) Horizontal/Oblique Asymptote c) y-intercept d) x-intercept(s)f(x) =

Find all real and imaginary solutions to the equation.y4 – 4y2 – 21 = 0

Write the quadratic function in the form y = a(x – h)2 + k.y = x2 – 8x

Solve the quadratic inequality by graphing an appropriate quadratic function.x2 + 6x + 8 ≥ 0

Find all real and imaginary solutions.x3 + 5×2 + 25x + 125 = 0

Factor the polynomial completely, given that the binomial is a factor.x + 2, x3 + 16×2 + 73x + 90