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

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Answer 1 · 2018-04-11T09:32:43

Leading term $sqrt(2)x^2$ , Leading coefficient: $sqrt2$ , Degree $2$ .

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

We can write this as:

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

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

Hence, Leading term: $sqrt(2)x^2$ and leading coefficient: $sqrt2$ .

Also, a quadratic function is of degree 2, since the leading term is of $x$ to the power $2$

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