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question answer the questions about the following polynomial. $-1 + 7x^…

Question

question
answer the questions about the following polynomial.
$-1 + 7x^5 + x$
answer attempt 1 out of 2
the expression represents a
polynomial with
terms. the constant term
is
, the leading term is
, and the leading coefficient is

Explanation:

Step1: Classify polynomial by degree

Identify highest exponent: $5$, so it's quintic.

Step2: Count number of terms

Separate terms: $-1$, $7x^5$, $x$ → 3 terms.

Step3: Identify constant term

Term without $x$: $-1$

Step4: Identify leading term

Term with highest exponent: $7x^5$

Step5: Identify leading coefficient

Coefficient of leading term: $7$

Answer:

The expression represents a quintic polynomial with $\boldsymbol{3}$ terms. The constant term is $\boldsymbol{-1}$, the leading term is $\boldsymbol{7x^5}$, and the leading coefficient is $\boldsymbol{7}$.