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18 state what you know about the given polynomial expression. $-8x^{3}+…

Question

18 state what you know about the given polynomial expression. $-8x^{3}+24+5x^{7}-12x$ $\boldsymbol{vee}$ in standard form. the degree of this polynomial is $\boldsymbol{vee}$. there are $\boldsymbol{vee}$ terms in this polynomial. 24 is called the $\boldsymbol{vee}$.

Explanation:

Step1: Check standard form

Standard form of a polynomial orders terms from highest to lowest degree.
Original polynomial: $-8x^3 + 24 + 5x^7 - 12x$
Standard form: $5x^7 - 8x^3 - 12x + 24$
Conclusion: Original is Not in standard form.

Step2: Find polynomial degree

The degree is the highest exponent of $x$.
Highest exponent: $7$ (from $5x^7$)

Step3: Count number of terms

Terms are separated by $+$ or $-$.
Terms: $-8x^3$, $24$, $5x^7$, $-12x$ → Total = 4

Step4: Identify the term 24

A term without a variable is the constant term.

Answer:

  1. Not
  2. 7
  3. 4
  4. constant term