Here are the steps in finding the difference of the given polynomial.
1. Simplify the first term by multiplying 3n² by the terms inside the parenthesis.
[tex](3n^2)(n^2)+(3n^2)(4n)+(3n^2)(-5)-(2n^2-n^4+3)[/tex][tex]3n^4+12n^3-15n^2-(2n^2-n^4+3)[/tex]2. Eliminate the parenthesis on the second term by multiplying the negative symbol by the terms inside the parenthesis.
[tex]3n^4+12n^3-15n^2-2n^2+n^4-3[/tex]3. Arrange the terms according to their exponents or degree.
[tex]3n^4+n^4+12n^3-15n^2-2n^2-3[/tex]4. Combine similar terms. Similar terms are terms with the same variable and with the same exponent like 3n⁴ and n⁴.
[tex]4n^4+12n^3-17n^2-3[/tex]Hence, the difference between the given polynomial is 4n⁴ + 12n³ - 17n² - 3 as shown above.
The degree of the polynomial is 4.
There are 4 terms in the polynomial.
