1. Write the equation of a quartic (degree 4) polynomial function with the following zeros: -3, -2, 1, and 5
2. Write the equation of a quintic (degree 5) polynomial function with the following zero: 2 with a multiplicity of 5.
3. Write the equation of a cubic polynomial function with the following zeros: 1,3, and 5, and with f(0) =5
2. Write the equation of a quintic (degree 5) polynomial function with the following zero: 2 with a multiplicity of 5.
3. Write the equation of a cubic polynomial function with the following zeros: 1,3, and 5, and with f(0) =5
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1.
y = (x + 3)(x + 2)(x - 1)(x - 5)
2.
y = (x - 2)^5
3.
y = a(x - 1)(x - 3)(x - 5)
5 = a(0 - 1)(0 - 3)(0 - 5)
5 = -15a
a = -1/3
so
y = -1/3(x - 1)(x - 3)(x - 5)
♣♦
y = (x + 3)(x + 2)(x - 1)(x - 5)
2.
y = (x - 2)^5
3.
y = a(x - 1)(x - 3)(x - 5)
5 = a(0 - 1)(0 - 3)(0 - 5)
5 = -15a
a = -1/3
so
y = -1/3(x - 1)(x - 3)(x - 5)
♣♦