Q. 34.8( 4 Votes )

Fill in the blanks:

(i) x2 + x + 3 is a ....... polynomial.

(ii) axn + bx + c is a quadratic polynomial if n = ......

(iii) The value of the quadratic polynomial x2 — 5x + 4 for x = — 1 is ......

(iv) The degree of the polynomial 2x2 + 4x — x3is ..........

(v) A real number a will be called the zero of the quadratic polynomial ax2 + bx + c if ........ is equal to zero.

Answer :

(i) Quadratic, because it is in the form of ax2 + bx2 + c = 0


(ii) n = 2, and also a≠0, as it will make the polynomial 0.


(iii) Putting the value of x = -1, in x2 — 5x + 4


(-1)2 - 5(-1) + 4


1 + 5 + 4


10


The value is 10.


(iv) The degree is the highest power of the term in the expression, so it is 3.


(v) The zeroes of a polynomial are α & β.


to be zero, αx2+b α+c=0 & βx2+b β+c=0


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