polynomial function has a root z = 4

Q: A quadratic function is given f(x) = -x^2 + 8x + 4. The standard form  f(x) = -(x - 4)^2 + 20. The…

A: Use the given information and sketch the graph of the given function as follows.

Q: Find all the zeros of f (x) = x³ – 8 Then, factor the polynomial completely -

A: We have to find

Q: Find an equation in factored form for an even polynomial function with a local minimum at (2,0) and…

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Q: Give the general form of polynomial function P of degree n.

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Q: Use Cramer's rule to determine the solution of the system kx₂ = 4 (2-k)x₁+ kx₁ + (3-k)x₂ = 3 For…

A: The system of equations(2−k)x1+kx2=4kx1+(3−k)x2=3Cramer's methodLet

Q: Find a degree 4 polynomial having zeros -8, -2, 4 and 8 and the coefficient of æ4 equal 1. The…

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Q: 7. Find a polynomial of degree 3 with zeroes -3, 2 and 3, passing through the point (0, 12).

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Q: Write a third degree polynomial function with integer coefficients that has zeroes x=1 and x=i…

A: For a polynomial function with integer coefficients, the complex roots come in pairs. So, we must…

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.