Question

classify this polynomial. 10j⁴ + j³ + 10j² + 8j - 5 quadratic linear cubic none of these

Explanation:

Step1: Recall polynomial degree rules

The degree of a polynomial is the highest power of the variable. For a polynomial in one variable \( j \), the degree is the largest exponent of \( j \).

Step2: Identify the highest exponent

In the polynomial \( 10j^{4}+j^{3}+10j^{2}+8j - 5 \), the exponents of \( j \) are \( 4, 3, 2, 1, 0 \) (for the constant term \(-5\), exponent is \( 0\)). The highest exponent is \( 4 \).

Step3: Compare with given types

• Linear polynomials have degree \( 1 \).
• Quadratic polynomials have degree \( 2 \).
• Cubic polynomials have degree \( 3 \).

Since the degree here is \( 4 \), it doesn't match linear (degree 1), quadratic (degree 2), or cubic (degree 3).

Answer:

none of these