Question

Find all solutions of the equation. (Enter all answers including
repetitions. Enter your answers as a comma-separated list.)

x^{4} + 5x^{3}− 17x^{2}− 15x
+ 42 = 0

Find all solutions of the equation. (Enter
all

answers including repetitions. Enter your
answers as a comma-separated list.)

6x5 + 43x4 + 37x3 − 30x2 = 0

Find all solutions of the equation. (Enter
all answers including repetitions. Enter your answers as a
comma-separated list.)

x3 − 8x2 − 19x − 10 = 0

Find all solutions of the equation.

x3 − 4x2 − 19x − 14 = 0

List all possible rational zeros of the polynomial and then
show that the equation has no rational root.

x3 + 3x2 − 4x + 6 = 0

List all possible rational zeros of the polynomial and then
show that the equation has no rational root.

x5 − 8x3 + 2x2 + x − 2 = 0

Answer #1

This
is the answer to 1st question

I do

All the real zeros of the given polynomial are integers. Find
the zeros. (Enter your answers as a comma-separated list. Enter all
answers including repetitions.)
P(x) = x3 + 7x2 − x − 7
x =
Write the polynomial in factored form.
P(x) =
16.
Find all rational zeros of the polynomial. (Enter your answers
as a comma-separated list. Enter all answers including
repetitions.)
P(x) = 24x3 + 10x2 − 13x − 6
x =
Write the polynomial in factored...

5.
All the real zeros of the given polynomial are integers. Find
the zeros. (Enter your answers as a comma-separated list. Enter all
answers including repetitions.)
P(x) = x4 − 13x2 + 36
x =
Write the polynomial in factored form.
P(x) =
15.
All the real zeros of the given polynomial are integers. Find
the zeros. (Enter your answers as a comma-separated list. Enter all
answers including repetitions.)
P(x) = x3 + 5x2 − x − 5
x =...

1. Find all rational zeros of the polynomial, and then find the
irrational zeros, if any. Whenever appropriate, use the Rational
Zeros Theorem, the Upper and Lower Bounds Theorem, Descartes' Rule
of Signs, the Quadratic Formula, or other factoring techniques.
(Enter your answers as comma-separated lists. Enter all answers
including repetitions. If an answer does not exist, enter DNE.)
P(x) = 2x4 + 7x3 − 6x2 − 7x + 4 rational zeros x = irrational zeros
x =
2. A...

Verify that the equation does not have any rational number
solutions.
x4 − x3 − 8x2 − 2x + 1 = 0
Find all possible rational roots. (Enter your answers as a
comma-separated list.)

15.
Find all the real zeros of the polynomial. Use the quadratic
formula if necessary, as in Example 3(a). (Enter your answers as a
comma-separated list. Enter all answers including repetitions.)
P(x) = x3 + 6x2 + 7x − 2
x =

1. Find all zeros of the polynomial. (Enter your answers as a
comma-separated list. Enter all answers including repetitions.)
P(x) = 12x4 + 12x3 + 15x2 + 12x
+ 3
2. A graphing calculator is recommended.A solar panel
manufacturer estimates that the profit y (in dollars) generated by
producing x solar panels per month is given by the equation S(x) =
8x + 0.8x2 − 0.002x3 − 4000. Graph the function in the viewing
rectangle [0, 400] by [−10,000, 20,000]. For...

Find all the real zeros of the polynomial. Use the quadratic
formula if necessary, as in Example 3(a). (Enter your answers as a
comma-separated list. Enter all answers including repetitions.)
P(x) = 3x^3 + 5x^2 − 5x − 7

Find all exact solutions on the interval
0 ≤ x < 2π.
(Enter your answers as a comma-separated list.)
cot(x) + 4 = 5
x=

Solve the equation by completing the square. (Enter your answers
as a comma-separated list.)
x2 = −4x − 53
Solve the quadratic inequality. (Enter your answer using
interval notation. If there is no solution, enter NO SOLUTION.)
x2 − 8x > −12
Solve the equation by factoring. (Enter your answers as a
comma-separated list.)
125x = 5x3

Use Newton's method to find all solutions of the equation
correct to six decimal places. (Enter your answers as a
comma-separated list.)
x + 4
= x2 − x

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