Question

Question 5
Classify the following as constant, linear, quadratic and cubic polynomials.

(i) $2–x^2+x^3$

(ii) $3x^3$

(iii) $5t-\sqrt{7}$

(iv) $4–5y^2$

(v) $3$

(vi) $2+x$

(vii) $y^3-y$

(viii) $1+x+x^2$

(ix) $t^2$

(x) $\sqrt{2}x-1$

Answer 1

(i) Polynomial $2–x^2+x^3$ is a cubic polynomial because the highest exponent of x is 3.

(ii) Polynomial $3x^3$ is a cubic polynomial because the highest exponent of x is 3.

(iii) Polynomial $5t-\sqrt{7}$ is a linear polynomial because the highest exponent of t is 1.

(iv) Polynomial $4–5y^2$ is a quadratic polynomial because the highest exponent of y is 2.

(v) Polynomial $3x^0$ is a constant polynomial because the exponent of the variable is 0.

(vi) Polynomial 2+x is a linear polynomial because the highest exponent of x is1.

(vii) Polynomial $y^3-y$ is a cubic polynomial because the highest exponent of y is 3.

(ix) Polynomial $t^2$ is a quadratic polynomial because the highest exponent of t is 2.

(x) Polynomial $\sqrt{2}x-1$ is a linear polynomial because the highest exponent of x is 1.