Classify the following as linear, quadratic and cubic polynomials:
(i) x2 + x (ii) x – x3 (iii) y + y2 + 4 (iv) 1 + x (v) 3t (vi) r2
Solution: (i) x2 + x
Highest power of x is 2 so it is a quadratic polynomials
(ii) x – x3
Highest power of x is 3 so it is cubic polynomial
(iii) y + y2 + 4
Highest power of y is 2 so it is quadratic polynomial
(iv) 1 + x
Highest power of x is 1 so it is linear polynomial
(v) 3t
Highest power of t is 1 so it is linear polynomial
(vi) r2
Highest power of t is 2 so it is quadratic polynomial
(vii) 7x3
Highest power of x is 3 so it is cubic polynomial
(i) x2 + x (ii) x – x3 (iii) y + y2 + 4 (iv) 1 + x (v) 3t (vi) r2
Solution: (i) x2 + x
Highest power of x is 2 so it is a quadratic polynomials
(ii) x – x3
Highest power of x is 3 so it is cubic polynomial
(iii) y + y2 + 4
Highest power of y is 2 so it is quadratic polynomial
(iv) 1 + x
Highest power of x is 1 so it is linear polynomial
(v) 3t
Highest power of t is 1 so it is linear polynomial
(vi) r2
Highest power of t is 2 so it is quadratic polynomial
(vii) 7x3
Highest power of x is 3 so it is cubic polynomial
No comments:
Post a Comment