What is the leading term, leading coefficient, and degree of this polynomial f(x)= x^2(sqrt2) + x - 5f(x)=x2(2)+x5?

1 Answer
Apr 11, 2018

Leading term sqrt(2)x^22x2, Leading coefficient: sqrt22, Degree 22.

Explanation:

f(x) = x^2(sqrt2) + x +5f(x)=x2(2)+x+5

We can write this as:

f(x) = sqrt2x^2 + x +5f(x)=2x2+x+5

This is a quadratic in standard form: ax^2+bx +cax2+bx+c
Where: a=sqrt2, b=1 and c=5a=2,b=1andc=5

Hence, Leading term: sqrt(2)x^22x2 and leading coefficient: sqrt22.

Also, a quadratic function is of degree 2, since the leading term is of xx to the power 22