Q2 of 168 Page 7

Which of the following is a polynomial?

(i) 2x + (ii) + x2 (iii) y2 + y-3 (iv) 3 + 7

(i) On solving the equations,




After simplifying the equation, one of the term has a negative (-2) exponent.


So, following the ideal pattern of a polynomial, is not a polynomial.


(ii) On solving the equations,



∵ After simplifying the equation, as it has a positive (2) exponent.


So, following the ideal pattern of a polynomial, is a polynomial.


(iii) On solving the equations,




∵ After simplifying the equation, as the one of the term has a negative (-3) exponent.


So, following the ideal pattern of a polynomial, is not a polynomial.


(iv) On solving the equations,




After simplifying the equation, as the expression has a degree of .


So, following the ideal pattern of a polynomial, is not a polynomial.


More from this chapter

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1

Which of the following is a quadratic polynomial?

(i) 2 -x2 (ii) x+ (iii) x+ (iv) x2 +3+2

1

Which of the following is a quadratic polynomial?

(i) 2 x2+1 (ii) x2 + (iii) (iv)

3

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.

 4

Find the zeroes of the quadratic polynomial 9 — x2.