The given expression is a prime polynomial since it cannot be reduced.
The given expression is:
[tex]x^{2} -7x-10[/tex] which is a quadratic expression.
What is a quadratic expression?
A quadratic expression is of the form [tex]ax^{2} +bx+c[/tex] where [tex]a\neq 0[/tex]
If we compare the given expression [tex]x^{2} -7x-10[/tex] with [tex]ax^{2} +bx+c[/tex]
a=1
b=-7
c=-10
Discriminant D=[tex]b^{2} -4ac[/tex]
[tex]D=-(7)^{2} -4*1*(-10)[/tex]
[tex]D=89[/tex]
Since 89 is not a perfect square so given quadratic expression cannot be reduced.
So, the given expression is a prime polynomial.
Therefore, the given expression [tex]x^{2} -7x-10[/tex] is a prime polynomial.
To get more about polynomials visit:
https://brainly.com/question/2833285
