SOLUTION: Form a polynomial whose zeros and degree are given.
​Zeros: negative −2​, 2​, 4​, 5​; degree 4
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Question 1097564: Form a polynomial whose zeros and degree are given.
Zeros: negative −2, 2, 4, 5; degree 4
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
Ok, for a zero at -2, that means you'll have a factor (x + 2) (its always the opposite sign because the zero 'a' is the value that makes x + a = 0 and that happens at x = -a). Similarly, for the zero at 2, you have a factor (x-2)...
—
Applying this idea to each zero gives you the four factors:
(x + 2)(x - 2)(x - 4)(x-5) =
=
=
=
—
Check:
x=4:
x=2:
and similar for x=-2 and x=5.
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