Question

value: 4
match the polynomial to its correct name..
a. h(x)=15x + 2

b. f(x)=x⁴ - 3x² + 9x²

c. g(x)= -5x³

d. f(x)=3x² -5x + 7

1. quadratic trinomial

Explanation:

Step1: Define quadratic trinomial

A quadratic trinomial is a degree-2 polynomial with 3 terms.

Step2: Analyze each polynomial

a. $h(x)=15x+2$: Degree 1, 2 terms (linear binomial)
b. $f(x)=x^4-3x^2+9x^2=x^4+6x^2$: Degree 4, 2 terms (quartic binomial)
c. $g(x)=-5x^3$: Degree 3, 1 term (cubic monomial)
d. $f(x)=3x^2-5x+7$: Degree 2, 3 terms (matches quadratic trinomial)

Answer:

d. $f(x)=3x^{2}-5x+7$