Mathematics: Write the factored form of the third-degree polynomial function that has a positive leading coefficient and a zero at x= -3 with a multiplicity of 3.

Write the factored form of the third-degree polynomial

Ответ:

phavion

01.05.2021

Mathematics

$a(x+3)^3, a \neq 0$

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots $x_{1}, x_{2}, x_{n}$ such that it can be written as: $a(x - x_{1})*(x - x_{2})*...*(x-x_n)$ , in which a is the leading coefficient.

Zero at x= -3 with a multiplicity of 3.

This means that:

x_1 = x_2 = x_3 = -3

a(x - (-3))*(x - (-3))*(x-(-3)) = a(x+3)(x+3)(x+3) = a(x+3)^3

Positive leading coefficient

$a(x+3)^3, a \neq 0$

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Ответ:

genyjoannerubiera

11.02.2023

Mathematics

1st answer: the temperature increased until 4: 00 p.m.
2nd answer: the temperature decreased after 6: 00 p.m.
3rd answer: the temperature increased more quickly between 12: 00 p.m. and 4: 00 p.m. than before 12: 00 p.m.
all together that's the answer
step-by-step explanation:

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Write the factored form of the third-degree polynomial function that has a positive leading coefficient and a
zero at x= -3 with a multiplicity of 3.

Ответ:

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