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Nady [450]
2 years ago
5

Can anyone help me in explaining subtraction of polynomials please help I’m desperate and I’m pretty much on my own when it come

s to math!
Mathematics
1 answer:
Sidana [21]2 years ago
4 0

Answer:

Think of combining <u>like terms</u> when subtracting polynomials. For example, 3x² and -2x². They both have x² in common. So, if you were to combine 3x² and -2x², it would be like 3x² + (-2x²). Think of this like 3 + (-2), which equals 1. In this case, it would equal 1x² or x².

Let's take this problem for example: 6x² - 3x + 4 - (-2x² +2x - 2)

Parentheses are super important; The first thing you want to do is distribute the negative sign out to everything inside the parentheses!

So,

6x² - 3x + 4 - (-2x² +2x - 2) *multiply the neg. to -2x², 2x, and -2

Now, if you do that, the equation would now look like:

6x² - 3x + 4 + 2x² - 2x + 2

Now think of combining like terms. Here are the like terms:

6x² <em>- 3x</em> <u>+ 4</u> + 2x² <em>- 2x</em> <u>+ 2</u> (Let's rewrite it to look like this...)

6x² + 2x² <em>- 3x</em> <em>- 2x </em><u>+ 4</u> <u>+ 2</u>

Let's combine the x²'s first, so... 6x² + 2x² = 8x²

Let's combine the x's, so...<em> -3x - 2x = -5x</em>

Let's combine the constants (numbers with no variable), so... <u>4 + 2 = 6</u>

<u />

Your solution should be 8x² - 5x + 6

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