Math Problem Statement
The polynomial of degree 4,
P
(
x
)
has a root of multiplicity 2 at
x
4
and roots of multiplicity 1 at
x
0
and
x
−
3
. The graph passes through the point
(
−
1
,
−
200
)
.
Find a formula for
P
(
x
)
.
P ( x )
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Polynomial Functions
Algebra
Roots of Polynomials
Formulas
Factored form of a polynomial: P(x) = a(x - r1)^m1(x - r2)^m2 ...
Finding a polynomial constant using a given point: P(x) = a(x - r1)^m1(x - r2)^m2 ...
Theorems
Fundamental Theorem of Algebra
Multiplicity of Roots
Suitable Grade Level
Grades 10-12
Related Recommendation
Degree 4 Polynomial with Given Roots and Multiplicities
Degree 4 Polynomial with Multiple Roots and Passing Through a Given Point
Degree 5 Polynomial with Roots of Multiplicity 2 and 1
Quartic Polynomial with Roots -3, -2, and 4 (Multiplicity 2)
Find the Polynomial P(x) with Specific Roots and Point (5,42)