Consider the algebraic expression $$ 9-20 x^{4} $$. What is the degree of this polynomial? Identify the constant term. Identify the leading coefficient. Identify the leading term.

Question

UpStudy AI · Accepted Answer

1. The polynomial is given as $$ 9 - 20x^4 $$. To determine its degree, rewrite it in standard form (descending order of exponents):
   $$
   -20x^4 + 9
   $$
   The term with the highest exponent is $$ -20x^4 $$, and its exponent is $$ 4 $$.  
   **Degree:** $$ 4 $$.

2. The constant term in a polynomial is the term that does not contain any variable; in this expression, it is:
   $$
   9
   $$
   **Constant Term:** $$ 9 $$.

3. The leading coefficient is the coefficient of the term with the highest degree. Since the leading term is $$ -20x^4 $$, the coefficient is:
   $$
   -20
   $$
   **Leading Coefficient:** $$ -20 $$.

4. The leading term is the term with the highest degree in the polynomial. In standard form, it is:
   $$
   -20x^4
   $$
   **Leading Term:** $$ -20x^4 $$.
- **Degree:** 4 - **Constant Term:** 9 - **Leading Coefficient:** -20 - **Leading Term:** -20x⁴

Consider the algebraic expression \( 9-20 x^{4} \). What is the degree of this polynomial? Identify the constant term. Identify the leading coefficient. Identify the leading term.

Solución de inteligencia artificial de Upstudy

Responder

Solución

Beyond the Answer

preguntas relacionadas

Latest Algebra Questions