Question

Как найти значение многочлена

Answer 1

Привести подобные члены это значит, что переменные рядом с коэффициентами одной степени
Пример 5у + 10x^2 - 10xy + 7y - 5y^2 + 8xy здесь подобные члены это:
5у и 7y итого 12у,
а также - 10xy и 8xy итого -2ху
Найти значение многочлена это значит подставить в многочлен значения переменной (-ых) и посчитать сколько получилось

Answer 2

Finding the Value of a Polynomial

To find the value of a polynomial, you can use the process of substitution. This involves replacing the variable in the polynomial with a specific value and then simplifying the expression.

Steps to Find the Value of a Polynomial:

1. Substitute the Value for the Variable: Replace the variable in the polynomial with the given value. 2. Simplify the Expression: Perform the necessary operations to simplify the polynomial expression after substitution.

For example, if you have a polynomial \(P(x) = 2x^2 + 3x - 5\) and you want to find the value of \(P\) when \(x = 2\), you would substitute \(2\) for \(x\) in the polynomial and then simplify the expression to find the value of \(P\) at \(x = 2\).

Example:

Given the polynomial \(P(x) = 2x^2 + 3x - 5\), to find the value of \(P\) when \(x = 2\): 1. Substitute \(2\) for \(x\): \(P(2) = 2(2)^2 + 3(2) - 5\) 2. Simplify the expression: \(P(2) = 2(4) + 6 - 5 = 8 + 6 - 5 = 9\)

So, the value of the polynomial \(P\) when \(x = 2\) is \(9\).

This process can be applied to any polynomial to find its value at a specific point.