Tuesday, 7 May 2013

Classify the following as linear, quadratic and cubic polynomials

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

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