SOLUTION: Please help me answer this question. Find the real zeros of the polynomial. State the multiplicity of each real zero. p(x) = 25x5 − 95x4 + 139x3 − 97x2 + 32x &#8722

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Question 997279: Please help me answer this question.
Find the real zeros of the polynomial. State the multiplicity of each real zero.
p(x) = 25x5 − 95x4 + 139x3 − 97x2 + 32x − 4
Thank you!

Found 2 solutions by fcabanski, MathLover1:
Answer by fcabanski(1391)   (Show Source): You can put this solution on YOUR website!
Graph to find a zero. Then use synthetic division to factor out that zero. Alternatively, you can use the factors of the constant divided by the factors of the leading coefficient (+ or -) to find potential zeroes. Then check them until you find a zero (no remainder with synthetic division).
It's easier to find zeroes by graphing.
.

Answer by MathLover1(20855)   (Show Source): You can put this solution on YOUR website!
...to factor it, first write as , as , as , and as , then group






so, zeros are:
if =>-the multiplicity of this real zero is
if =>=>-the multiplicity of this real zero is





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