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

Answer 1

Abigail Allen

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#

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Answer 2

Kennedy Adams

The leading term of the polynomial f(x) = x^2√2 + x - 5 is x^2√2. The leading coefficient is the coefficient of the leading term, which is √2. The degree of the polynomial is determined by the highest power of the variable x, which is 2 in this case.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.