Question

Match the expression with its name.

10x2 – 5x + 10

quadratic trinomial

cubic monomial

not a polynomial

fourth-degree binomial

Answer 1

`\large\boxed{10x^2-5x+10\ -\ \bold{quadratic\ trinomial}}`

Explanation:

`\text{quadratic trinomial}\ -\ ax^2+bx+c\\\\\text{cubic monomial}\ -\ ax^3\\\\\text{not a polynomial}\ -\ (a)/(x)\\\\\text{fourth-degree binomial}\ -\ ax^4+bx`

`10x^2-5x+10\\\\\text{the highest power of variable (x) is 2}\to \boxed{x^2}\ \to\ \bold{quadratic}\\\\\text{polynomial has 3 terms}\ \to\ \boxed{10x^2,\ -5x,\ 10}\ \to\ \bold{trinomial}`