Horner's method

Horner's method is like counting candies in a jar, but instead of taking out each candy one by one, you count them by grouping them in sets.

Let's say you have a bunch of candies with different colors and you want to count how many red candies there are. Instead of taking out each candy one by one and counting them, you can group them in sets of the same color. So, you can stack all the red candies on top of each other and count how many sets there are. This way you save time and energy.

Horner's method is kind of like this. Imagine you have an equation with a bunch of numbers and you want to find the value of the equation when x equals a certain number. Instead of solving the equation from scratch, you can use Horner's method to group the numbers in sets and make the calculation faster.

First, you write out the equation in a certain way, with the coefficients (the numbers multiplying each x term) arranged from highest power of x to the lowest power of x. Then, you take the number you want to substitute in for x and put it in parentheses. You start with the highest powered term, multiply it by the number you substituted in, and add the next coefficient in the equation. You keep doing this until you get to the end of the equation.

Horner's method is useful because it saves time and effort when you have to solve equations with a lot of coefficients. It's like counting candies in groups instead of one by one.