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In: Math

Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given...

Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given condition.

−5, 1, 2;    f(3) = 48

Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given condition.

−3, −2, 0;    f(−4) = 24

Find a polynomial f(x) of degree 3 that has the indicated zeros and satisfies the given condition.

−2i, 2i, 5;    f(1) = 40

Find the zeros of f(x), and state the multiplicity of each zero. (Order your answers from smallest to largest x.)

f(x) = 4x5 + 28x4 + 49x3

x = with multiplicity
x = with multiplicity

Find the zeros of f(x), and state the multiplicity of each zero. (Order your answers from smallest to largest x.)

f(x) = x(x + 1)5(3x − 7)2

x = with multiplicity   
x = with multiplicity
x = with multiplicity

Find the zeros of f(x), and state the multiplicity of each zero. (Order your answers from smallest to largest x.)

f(x) = (x2 + x − 6)2(x2 − 4)4

x= with multiplicity.   x= with multiplicity x= with multiplicity

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