Polynomial Equation

Write a polynomial equation that has -6 and 4 as solutions.

Solutions

Expert Solution

Given solutions of the polynomial equation -> -6 and 4

So to form equation we have to put x+6 and x-4 = 0

(x+6) (x-4) = 0

Multiplying we get,

x²-4x+6x-24=0

Subtracting the same variables we will get

x²+6x-24=0

Thus, it is the required equation having solutions -6 and 4 .

The required equation is = x²+2x-24.

Nikhil Thakur answered 1 year ago

Next > < Previous

Related Solutions

Solve polynomial equation.

Solve the mathematical equation (3x+1)^(3/2) - 24 = 40.

Personal Polynomial Please make "Chelsea" into a polynomial equation

Solve the 4 degree polynomial equation.

Solve the 4 degree polynomial equation \( x^4 − 2x^3 + 4x^2+ 6x − 21 = 0 \), given that the sum of two its roots is zero.

Does every polynomial equation have at least one real root? a. Why must every polynomial equation...

Does every polynomial equation have at least one real root? a. Why must every polynomial equation of degree 3 have at least one real root? b. Provide an example of a polynomial of degree 3 with three real roots. How did you find this? c. Provide an example of a polynomial of degree 3 with only one real root. How did you find this?

USING DYNACAM determine the polynomial equation for a single dwell cam to move a follower as...

USING DYNACAM determine the polynomial equation for a single dwell cam to move a follower as follows Dwell 0 deg to 100 deg Rise .625 inches from 100 deg to 200 deg Fall .625 inches from 200 deg to 360 deg minimize velocity DETERMINE THE NUMBER OF BOUNDARY CONDITIONS, THE CONSTANTS, AND THE POLYNOMIAL EQUATIONS FOR THE SVAJ DIAGRAMS

5a. Write the equation of the polynomial with leading coefficient 3 that has degree 4, with...

5a. Write the equation of the polynomial with leading coefficient 3 that has degree 4, with x-intercepts at -2 and 1, both having a multiplicity of 2. b. Write the equation of the polynomial which goes through the following points. (-2,0),(-1,0),(5,0), and (0,10). c. (1+i) is a zero of f(x)=x^4 - 2x^3 - x^2+ 6x - 6. Find the other zeros Please show all the work. Expert and correct answers only.

To find a root of a polynomial equation, we can use an iterative process. We start...

To find a root of a polynomial equation, we can use an iterative process. We start with an initial guess for the value of the root, x 0 , plug it in to the iterative formula and solve for x 1 . Then we plug x 1 back into the iterative formula and solve for x 2 . We continue this process until x n+1 and x n are equal to a specified number of decimal places. When this happens,...

3) Derive the matrix equation used to solve for the coefficients for least-squares polynomial regression for...

3) Derive the matrix equation used to solve for the coefficients for least-squares polynomial regression for a quadratic model. 4) Derive the matrix equation used to solve for the coefficients for least-squares multiple linear regression for a function of 2 variables.

[2 marks] Suppose that the characteristic polynomial of the following Cauchy-Euler equation x2 y′′ + αx ...

[2 marks] Suppose that the characteristic polynomial of the following Cauchy-Euler equation x2 y′′ + αx y′ + β y = 0 has roots m1 = 2 − 3i, and m2 = 2 + 3i. Find α and β. Enter the values of α and β (in that order) into the answer box below, separated with a comma.

Three consecutive integers multiply together to give -120 a)Determine a polynomial equation to represent this situation....

Three consecutive integers multiply together to give -120 a)Determine a polynomial equation to represent this situation. b)Using your equation from part (a), determine the three consecutive integers that multiply together to give -120.

Subjects