Question

write the polynomial equation f(x) in factored form with leading coefficient -2, and zeros -1(double root), 1 (single root), and 3 (single root).

A) write f(x) in factored form

B) What is its degree?

C) what is its y-intercept

D) sketch the graph showing the zeros and y-intercept

Answer #1

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Write a polynomial in factored form with least possible degree
having zeros at −1 ???????????? 3,3 ???????????? 2,2? and
?(2)=270.

form a polynomial F(x) with real coefficients having the given
degree and zeros
degree 4
zeros 2-3i; -3 multiplicity 2

(a) Write the equation in slope-intercept form.
y = −(x − 5)
(b) Write the equation in slope-intercept form.
y + 2x = 6
A restaurant serves 80 customers per hour.
(a) Write an equation that relates the number of customers
C and time t.
Use the slope and y-intercept to sketch the graph of
each equation.
(a)
y = 3x + 2
Identify the x-intercept.
b)
y = − 1/5x
Identify the x-intercept.
(c)
y = 3/2x-6
Identify the...

Write a polynomial F(x) with real coefficients in standard form
that has zeros 2 and 3+i.

Find a polynomial of degree 5 with integer coefficients that has
zeros 1, i, square root of 2i, and y-intercept of ?4.

Graph the polynomial function. Factor first if the expression is
not in factored form.
f(x) = x^3 + 7x^2=4x-12

Find a polynomial? P(x) with real coefficients having a degree?
4, leading coefficient 22?, and zeros 44minus?ii and 33ii.
?P(x)equals= nothing

Form a polynomial f(x) with the real coefficients having the given
degree and zeros
Degree 4; zeros: -1,2 and 1-2i

The polynomial of degree 5, P(x), has leading coefficient 1, has
roots of multiplicity 2 at x=5 and x=0, and a root of multiplicity
1 at x=−1.
Find a possible formula for P(x).

Question 1a Consider the polynomial function P(x) = x3+x2−20x.
Sketch a graph of y = P(x) by: determining the zeros of P(x),
identifying the y-intercept of y = P(x), using test points to
examine the sign of P(x) to either side of each zero and deducing
the end behaviour of the polynomial.
b Consider the quadratic function f(x) = 2x2 + 8x−1. (a) Express
f(x) in standard form. (b) Determine the vertex of f(x). (c)
Determine the x- and y-intercepts...

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