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The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=4 and a root of multiplicity 1 at x=-3. The y-intercept is y=-14.4.
Find a formula for P(x).
P(x)=
WILL GIVE BRAINLIEST SO SORRY FOR LOW POINTS SOMEONE INCORRECTLY ANSWERED MY QUESTION

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MrRoyal

The degree of a polynomial is the highest power of the polynomial

The formula of the polynomial is [tex]P(x) = -0.3(x - 4)^2(x + 3)[/tex]

How to determine the polynomial

The roots and the multiplicities are:

  • Root of multiplicity 2 at x=4
  • Root of multiplicity 1 at x=-3

So, the polynomial can be represented as:

[tex]P(x) = a(x - 4)^2(x + 3)[/tex]

The y-intercept is -14.4.

So, we have:

[tex]a(0 - 4)^2(0 + 3) = -14.4[/tex]

Simplify

[tex]48a = -14.4[/tex]

Divide both sides by 48

[tex]a = -0.3[/tex]

Substitute -0.3 for a in P(x)

[tex]P(x) = -0.3(x - 4)^2(x + 3)[/tex]

Hence, the formula of the polynomial is [tex]P(x) = -0.3(x - 4)^2(x + 3)[/tex]

Read more about polynomials at:

https://brainly.com/question/4142886

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