Answer:
Option (b) is correct.
The difference between two given polynomial is [tex]-12x^2-25x+13[/tex]
Step-by-step explanation:
Given : Polynomial [tex]3 - 13x - 7x^2[/tex] and [tex]5x^2+ 12x - 10[/tex]
We have to find the difference between given two polynomial.
Consider Polynomial [tex]3 - 13x - 7x^2[/tex] and [tex]5x^2+ 12x - 10[/tex]
Difference is [tex](3 - 13x - 7x^2)-(5x^2+ 12x - 10)[/tex]
Consider [tex]-\left(5x^2+12x-10\right)[/tex]
Distribute parentheses, we have,
[tex]=-\left(5x^2\right)-\left(12x\right)-\left(-10\right)[/tex]
Apply plus- minus rule,
[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]
[tex]=-5x^2-12x+10[/tex]
[tex]=3-13x-7x^2-5x^2-12x+10[/tex]
Adding similar terms (terms having same variable with same power)
We have,
[tex]=-12x^2-25x+13[/tex]
Thus, the difference between two given polynomial is [tex]-12x^2-25x+13[/tex]
