Reference no: EM131026939
1. Explain how synthetic division may be used to find the factors/zeros of a polynomial function. Give an example of how this is accomplished.
Use synthetic division to find the function value.
1) f(x) = 2x4 + 4x3 + 2x2 + 3x + 8; find f(-2).
Write the quadratic function in the form y = a(x - h)2 + k.
2) y = x2 - 2x - 9
Find the product.
3) [x - (-6 + √13)][x - (-6 - √13)]
Use the leading coefficient test to determine whether y→∞ or y→-∞ as x→ -∞.
4) y = -5x3 + 4x2 + 6x - 7
For the given function, find all asymptotes of the type indicated (if there are any).
5) f(x) = (x-9)/(x^2- 4) vertical
Use the rational zero theorem to find all possible rational zeros for the polynomial function.
6) P(x) = 3x3 + 43x2 + 43x + 27
Solve the inequality. Give answer in interval notation.
7) (x + 2)(x - 1)(x - 10) > 0
Solve the inequality.
8) (x+21)/(x+3) <2
Discuss the symmetry of the graph of the polynomial function.
9) f(x) = x2 + 2x - 1
Solve the absolute value equation.
10) |x2 - 10| = 4
Solve the quadratic inequality by graphing an appropriate quadratic function.
11) x2 - 2x - 8 ≤ 0
Use the theorem on bounds to establish the best integral bounds for the roots of the equation.
12) 6x3 - 7x2 + 7x + 9 = 0
State the degree of the polynomial equation.
13) 4(x + 8)2(x - 8)3 = 0
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: Explain how synthetic division may be used to find the factors/zeros of a polynomial function. Give an example of how this is accomplished.
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Compare the equilibrium constants for the following reaction
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