Find a polynomial p(x) with zeroes at 1,-2, and -1 and such that p(2) equals 6...

Find a polynomial p(x) with zeroes at 1,-2, and -1 and such that p(2) equals 6 ?

What is the remainder when the polynomial p(x) equals (x^101 - x^50 - 3x^9 + 2) is divided by (x+1) ?

Find a polynomial of degree 4 with zeroes at -2, 9, and 5. (NOTE: leave your polynomial factored; please do not expand it)

Factor the polynomial x^3 - 4x^2 + 3x + 2.

List all the possible rational roots of the polynomial 9x^7 + 2x^2 - 5x + 10. (NOTE: you are only asked to list them not to factor them)

Solve the equation 2x^3 - 3x^2 - 11x + 6 = 0 given that -2 is a zero of f(x)= 2x^3 - 3x^2 - 11x + 6.

For the rational function f(x)= 2x^2 - 1 divided by x^2 - 9, find the vertical asymptotes, if any. It's horizontal asymptotes, if any. It's X intercepts with multiplicity, if any. It's Y-intercept, if any.

Solve the inequality (X - 3) divided by (X - 2) less than or equal to 0.

Solve the inequality (X + 5)(1 - X) is greater than or equal to 0.

For the rational function f(x)= 4X divided by (x^2 - 4) find its Verticle Asymptotes, if any. It's Horizontal Asymptotes, if any and the end behavior. It's X-intercept, if any. It's Y-intercept, if any.

For the function f(x)= (x - 4)^2 - 1, find the vertex and the x and y intercepts. The equation of the axis of symmetry.

Solutions

Expert Solution

5. Possible rational roots: ±1,±1/3,±1/9,±2,±2/3,±2/9,±5,±5/3,±5/9,±10,±10/3,±10/9

milcah answered 1 year ago

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