Write the simplest polynomial function for each set of zeros Zeros = 8,-10, 1,

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  p(x) = x^3 +x^2 -82x +80

Step-by-step explanation:

If a polynomial function has a zero at x=a, then (x -a) is a factor. Your list of zeros means the factors are ...

  p(x) = (x -8)(x +10)(x -1) . . . . . . . . factored form

When this is multiplied out, it becomes ...

  p(x) = x^3 +x^2 -82x +80 . . . . . . standard form

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The factored form can be multiplied out using the distributive property.

  = ((x(x +10) -8(x +10))(x -1)

  = (x^2 +10x -8x -80)(x -1)

  = (x^2 +2x -80)x -(x^2 +2x -80)

  = x^3 +2x^2 -80x -x^2 -2x +80

  = x^3 +x^2 -82x +80

m∠5 + m∠3 = m∠1   is true.

m∠5 + m∠6 = 180 is true

m∠2 +m∠3 = m∠6   is true

m∠2 +m∠3 +m∠5 = 180   is true