Polynomials

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Yes, it is a polynomial. Reason: It contains variables with non-negative integer exponents (x² has exponent 2, x has exponent 1, and 5 is a constant with x⁰). All terms have coefficients and constants…

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No, it is NOT a polynomial. Reason: The term -3/x can be written as -3x⁻¹. Since the exponent of x is -1 (a negative integer, not a whole number), this expression does not qualify as a polynomial. Pol…

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Step 1: Identify all terms: 7x⁵, -3x³, 2x, -8. Step 2: Find the exponents: 5, 3, 1, 0. Step 3: The highest exponent is 5. Step 4: The degree of the polynomial is 5. Answer: 5…

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Step 1: Find the degree = 2 (highest power of x). Step 2: Match with classification: Degree 2 = Quadratic polynomial. Answer: This is a quadratic polynomial. Other classifications: Linear (degree 1), …

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Step 1: Count the terms: x³, -2x², x, -5 = 4 terms. Step 2: With 4 terms, it's not monomial (1 term), binomial (2 terms), or trinomial (3 terms). It's a polynomial with 4 terms. Step 3: Degree = 3 (hi…

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Step 1: Monomial (1 term) of degree 4: 7x⁴. Step 2: Binomial (2 terms) of degree 3: 2x³ - 5x. Step 3: Trinomial (3 terms) of degree 2: x² + 3x - 2. Note: Multiple answers are acceptable as long as ter…

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Step 1: Substitute x = 2 into p(x). Step 2: p(2) = 2(2)² + 3(2) - 5. Step 3: p(2) = 2(4) + 6 - 5. Step 4: p(2) = 8 + 6 - 5. Step 5: p(2) = 9. Answer: 9…

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Step 1: Substitute x = -1 into p(x). Step 2: p(-1) = (-1)³ - 2(-1)² + (-1) + 1. Step 3: p(-1) = -1 - 2(1) - 1 + 1. Step 4: p(-1) = -1 - 2 - 1 + 1. Step 5: p(-1) = -3. Answer: -3…