Q. 54.0( 6 Votes )

Obtain the quadra

Answer :

(1) The quadratic polynomial is,


p(x) = ax2 + bx + c; a ≠ 0, a, b, c ε R.


Substituting a = 6, b = 17 and c = 11, we get the required quadratic polynomial


p(x) = 6x2 + 17x + 11.


(2) The cubic polynomial is,


p(x) = ax3 + bx2 + cx + d; a ≠ 0, a, b, c, d ε R.


Substituting a = 1, b = —1, c = —1 and d = 1, we get the required cubic polynomial


p(x) = x3 – x2 – x + 1.


(3) The quadratic polynomial is,


p(x) = ax + bx + c; a ≠ 0, a, b, c ε R.


Substituting a = 5, b = 7 and c = 2, we get the required quadratic polynomial


p(x) = 5x2 + 7x + 2.


(4) The cubic polynomial is,


p(x) = ax + bx + cx + d; a ≠ 0, a, b, c, d ε R.


Substituting a = 1, b = –3, c = –1 and d = 3, we get the required cubic polynomial


p(x) = x3 – 3x2 – x + 3.


(5) The cubic polynomial is,


p(x) = ax3 + bx2 + cx + d; a ≠ 0, a, b, c, d ε R.


Substituting a = 3, b = –5, c = –11 and d = –3, we get the required cubic polynomial


p(x) = 3x3 – 5x2 – 11x – 3.


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