Type the correct answer in the box use numerals instead of words

Question

asked Oct 6, 2022 221k views

1 Answer

Ryan Buddicom · Answer 1 · 2022-10-10T13:04:35+0000

Answer:

Subtracting
3x^2+4x-5 from
7x^2+x+9 results in a polynomial. After subtracting
4x^2-3x from this polynomial the difference is 14

Explanation:

The question given is:

Subtracting
3x^2+4x-5 from
7x^2+x+9 results in a polynomial. After subtracting
4x^2-3x from this polynomial the difference is?

First we will Subtracting
3x^2+4x-5 from
7x^2+x+9

$7x^2+x+9-(3x^2+4x-5)\\=7x^2+x+9-3x^2-4x+5\\Combining\:like\:terms\\=7x^2-3x^2+x-4x+9+5\\=4x^2-3x+14$

So, the polynomial we get is:
4x^2-3x+14

Now, subtracting
$4x^2-3x\: from\: 4x^2-3x+14$

$4x^2-3x+14-(4x^2-3x) \\=4x^2-3x+14-4x^2+3x\\Combining\:like\:terms\\=4x^2-4x^2-3x+3x+14\\=14$

The difference is 14

So, Subtracting
3x^2+4x-5 from
7x^2+x+9 results in a polynomial. After subtracting
4x^2-3x from this polynomial the difference is 14