Question

Identify constant, linear, quadratic, cubic and quartic polynomials from the following.
(i) –7 + x
(ii) 6y
(iii) –z³
(iv) 1 – y – y³
(v) x – x³ + x⁴
(vi) 1 + x + x²
(vii) – 6x²
(viii) – 13
(ix) – p

Answer 1

(i) –7 + x is a polynomial with degree 1. So, it is a linear polynomial.

(ii) 6y is a polynomial with degree 1. So, it is a linear polynomial.

(iii) –z³ is a polynomial with degree 3. So, it is a cubic polynomial.

(iv) 1 – y – y³ is a polynomial with degree 3. So, it is a cubic polynomial.

(v) x – x³ + x⁴ is a polynomial with degree 4. So, it is a quartic polynomial.

(vi) 1 + x + x² is a polynomial with degree 2. So, it is a quadratic polynomial.

(vii) – 6x² is a polynomial with degree 2. So, it is a quadratic polynomial.

(viii) –13 is a polynomial with degree 0. So, it is a constant polynomial.

(ix) – p is a polynomial with degree 1. So, it is a linear polynomial.