A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.

x = 0, equation weights = [4, 1, 9, 2]
user
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.

x = 0, equation weights = [4, 1, 9, 2]
assistant
A ploynomial equation is a sum of terms. Here each term is either a constant number, or consists of the variable x raised to a certain power and multiplied by a number. These numbers are called weights. For example, in the polynomial: 2x^2+3x+4, the weights are: 2,3,4. You can present a polynomial with the list of its weights, for example, equation weights = [6, 4] represent the equation 6x + 4 and equation weights = [1, 3, 4] represent the equation 1x^2 + 3x + 4. In this task, you need to compute the result of a polynomial expression by substituing a given value of x in the given polynomial equation. Equation weights are given as a list.

x = 0, equation weights = [4, 1, 9, 2]
user
To calculate the result of the polynomial expression with the given weights and the value of x, we can employ the following approach:

1. Initialize the result variable to 0.
2. Iterate through the list of weights. For each weight, multiply it with the current value of x raised to the power of the index of the weight (starting from 0).
3. Add this value to the result in every iteration.

In this case, the given value for x is 0 and the equation weights list is [4, 1, 9, 2]. Let's compute the result of the polynomial expression:

result = 0
result += 4 * (0^0) = 4
result += 1 * (0^1) = 4 + 0 = 4
result += 9 * (0^2) = 4 + 0 = 4
result += 2 * (0^3) = 4 + 0 = 4

So, for x = 0 and equation_weights = [4, 1, 9, 2], the result of the polynomial expression is 4.
assistant
To calculate the result of the polynomial expression with the given weights and the value of x, we can employ the following approach:

1. Initialize the result variable to 0.
2. Iterate through the list of weights. For each weight, multiply it with the current value of x raised to the power of the index of the weight (starting from 0).
3. Add this value to the result in every iteration.

In this case, the given value for x is 0 and the equation weights list is [4, 1, 9, 2]. Let's compute the result of the polynomial expression:

result = 0
result += 4 * (0^0) = 4
result += 1 * (0^1) = 4 + 0 = 4
result += 9 * (0^2) = 4 + 0 = 4
result += 2 * (0^3) = 4 + 0 = 4

So, for x = 0 and equation_weights = [4, 1, 9, 2], the result of the polynomial expression is 4.
user
To calculate the result of the polynomial expression with the given weights and the value of x, we can employ the following approach:

1. Initialize the result variable to 0.
2. Iterate through the list of weights. For each weight, multiply it with the current value of x raised to the power of the index of the weight (starting from 0).
3. Add this value to the result in every iteration.

In this case, the given value for x is 0 and the equation weights list is [4, 1, 9, 2]. Let's compute the result of the polynomial expression:

result = 0
result += 4 * (0^0) = 4
result += 1 * (0^1) = 4 + 0 = 4
result += 9 * (0^2) = 4 + 0 = 4
result += 2 * (0^3) = 4 + 0 = 4

So, for x = 0 and equation_weights = [4, 1, 9, 2], the result of the polynomial expression is 4.
assistant
When x = 0, we can substitute this value in the polynomial equation to find the result. In this case, we have a polynomial of degree 2, so we need to use the formula:

`c_0 + c_1x + c_2x^2 + c_3x^3`

where c_0 is the constant term, c_1 is the coefficient of x, c_2 and c_3 are the coefficients of x^2 and x^3 respectively.

Using the equation weights = [4, 1, 9, 2] we can fill in the coefficients as:

c_0 = 4
c_1 = 1
c_2 = 9
c_3 = 2

So we can substitute x = 0 into our polynomial equation and solve for y:

`4 + 1 * 0 + 9 * 0^2 + 2 * 0^3`

`4 + 0 + 0 + 2`

`4 + 2`

`6`

So the result of the polynomial equation when x = 0 is 6.

can you please write code for the above solution in python.
assistant
When x = 0, we can substitute this value in the polynomial equation to find the result. In this case, we have a polynomial of degree 2, so we need to use the formula:

`c_0 + c_1x + c_2x^2 + c_3x^3`

where c_0 is the constant term, c_1 is the coefficient of x, c_2 and c_3 are the coefficients of x^2 and x^3 respectively.

Using the equation weights = [4, 1, 9, 2] we can fill in the coefficients as:

c_0 = 4
c_1 = 1
c_2 = 9
c_3 = 2

So we can substitute x = 0 into our polynomial equation and solve for y:

`4 + 1 * 0 + 9 * 0^2 + 2 * 0^3`

`4 + 0 + 0 + 2`

`4 + 2`

`6`

So the result of the polynomial equation when x = 0 is 6.

can you please write code for the above solution in python.
user
When x = 0, we can substitute this value in the polynomial equation to find the result. In this case, we have a polynomial of degree 2, so we need to use the formula:

`c_0 + c_1x + c_2x^2 + c_3x^3`

where c_0 is the constant term, c_1 is the coefficient of x, c_2 and c_3 are the coefficients of x^2 and x^3 respectively.

Using the equation weights = [4, 1, 9, 2] we can fill in the coefficients as:

c_0 = 4
c_1 = 1
c_2 = 9
c_3 = 2

So we can substitute x = 0 into our polynomial equation and solve for y:

`4 + 1 * 0 + 9 * 0^2 + 2 * 0^3`

`4 + 0 + 0 + 2`

`4 + 2`

`6`

So the result of the polynomial equation when x = 0 is 6.

can you please write code for the above solution in python.
assistant