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The function -x5+28x³ + 2x² - 75x -50 has the graphgiven to the right. Use the graph to factor the polynomial.What is the factored form of the polynomial?0(Simplify your answer. Type your answer in factored form.Factor completely.)***-10

1 Answer

2 votes

Given:

The function is,


-x^5+28x^3+2x^2-75x-50

To find:

The factored form of the polynomial.

Step-by-step explanation:

Here, the graph of the given function is,

Focusing on the x-intercepts, -5, -1, 2, and 5.

So, the zeros are -5 with multiplicity 1, -1 with multiplicity 2, 2 with multiplicity 1 and 5 with multiplicity 1.

Since the leading coefficient is negative.

So, the factored form of the polynomial becomes,


-(x+5)(x+1)^2(x-2)(x-5)

Final answer:

The factored form of the polynomial becomes,


-(x+5)(x+1)^2(x-2)(x-5)
The function -x5+28x³ + 2x² - 75x -50 has the graphgiven to the right. Use the graph-example-1
User Thatmarvin
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