Login or Sign Up

Ask a New Question

Find all roots of P(x)= X^4 - 7/2 X^3 + 6x^2 -28x -16

Quartics are g=hard to solve, so look for rational roots, if any, where the numerator must be among

±1 ±2 ±4 ±8 ±16

A little synthetic division yields

P(x) = (x-4)(x + 1/2)(x^2+8)

I guess you can find the roots from there...

Similar Questions

A polynomial with integer coefficients is of the form\[28x^4 + a_3 x^3 + a_2 x^2 + a_1 x + 1 = 360.\] Find the number of

Top answer: Adding $-360$ to both sides gives \[28x^4 + a_3 x^3 + a_2 x^2 + a_1 x - 359 = 0,\] and so by the Read more.
Without solving, apply the Fundamental Theorem of Algebra to determine how many roots y=8x5−2x4+6 will have.(1 point)

Top answer: The Fundamental Theorem of Algebra states that a polynomial of degree n will have exactly n roots. Read more.
Without solving, apply the Fundamental Theorem of Algebra to determine how many roots y=8x5−2x4+6 will have.(1 point)Responses

Top answer: The Fundamental Theorem of Algebra states that a polynomial equation of degree n will have exactly n Read more.
If the ratio of the roots of the quadratic equation x^2−28x+A=0 is 2:5, what is the product of the roots of the quadratic

Top answer: 323 Read more.
Radical and Rational Exponentfind roots square roots of 12a^3/25=6a^3 -3-square roots 18/-6=-1 this is my answer am I right.

Top answer: I am unable to determine what the problem is. Is it this? Sqrt((12a^3)/25)=6a^3 ? divide by 6a^3 Read more.
How do I solve polynomial equation by finding all complex roots?The problem is: factor each expression and find all complex

Top answer: the root of x+4=0 is x=-2 the roots of the next can be solved by the quadratic equation.. Read more.
Radical and Rational Exponentfind roots square roots of 12a^3/25=6a^3 -3-square roots 18/-6=-1 check this for me it find the

Top answer: To find the roots of the equation, you need to solve for the value of "a" that makes the equation Read more.
Radical and Rational Exponentfind roots square roots of 12a^3/25=6a^3 -3-square roots 18/-6=-1 check this for me it find the

Top answer: To find the roots of the equation, we first need to simplify the expression on the left-hand side: Read more.
Multiple ChoiceUse the Rational Root Theorem to list all possible rational roots of the polynomial equation x3 – x2 – x –

Top answer: The correct answer is: –3, –1, 1, 3 Read more.
Two of the roots of x^4 +ax^3 +ax^2+11x+b=0 are 3 and -2.1. Find the value of a and b 2. Find the other roots. I believe that a

Top answer: For x = 3 x ^ 4 + a x ^ 3 + a x ^ 2 + 11 x + b = 0 Put x = 3 in this equation: 3 ^ 4 + a * 3 ^ 3 + a Read more.