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  • Polynomials of degrees 1,2 and 3 are called ………………    ,  ………………... and ……&

Polynomials of degrees 1,2 and 3 are called ………………    ,  ………………... and ………………   polynomials respectively.

Option: 1

quadratic, cubic,  linear


Option: 2

cubic, quadratic,  linear


Option: 3

cubic,  linear , quadratic


Option: 4

Linear , quadratic, cubic


Answers (1)

best_answer

 

 

Types of Polynomial -

Types of Polynomial:

  1. Constant polynomial: A polynomial of degree zero is called a constant polynomial and it is of the form p(x)=k, where k is constant.Thus, 20,-8,-1,1,5,7, \pi etc are all constant polynomial.

 

  1. Linear polynomial: A polynomial of degree one is called linear polynomial and it is of the form p(x)= ax+b, where a, b are real numbers and a ≠ 0. Thus, (3 x-5),(\sqrt{2} x+3),\left(x-\frac{5}{8}\right),etc., are all linear polynomials.

 

  1. Quadratic polynomial: A polynomial of degree two is called quadratic polynomial and it is of the form\mathrm{ p(x)=a x^{2}+b x+c}, where a, b, c are real numbers and a ≠ 0. Thus, \left(3 x^{2}+5 x-8\right),\left(2 x^{2}-2 \sqrt{2} x+6\right),\left(y^{2}-3 y+\sqrt{3}\right), etc., are all quadratic polynomials.

 

  1. Cubic polynomial: A polynomial of degree three is called cubic polynomial and it is of the form \mathrm{ p(x)=a x^{3}+b x^{2}+c x+d}  where a, b, c, d are real numbers and a ≠ 0. Thus, \left(2 x^{3}-3 x^{2}+8 x+1\right),\left(\sqrt{2} y^{3}-2 y^{2}+y-8\right),\left(z^{3}+2 z^{2}-\sqrt{3} z+3\right), etc., are all cubic polynomials.

 

  1. Bi-quadratic polynomial: A polynomial of degree four is called Bi-quadratic polynomial and it is of the form \mathrm{p(x)=a x^{4}+b x^{3}+c x^{2}+d x+e}, where a, b, c, d, e are real numbers and a ≠ 0. Thus, \left(2 x^{4}+3 x^{3}-5 x^{2}+9 x+1\right),\left(4 y^{4}-5 y^{3}+6 y^{2}-8 y+3\right), etc., are biquadratic polynomials.

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Posted by

Divya Prakash Singh

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