Q5 of 96 Page 6

Classify the following polynomials as polynomials in one-variable, two variable etc:

(i) x2-xy+7y2 (ii) x2-2tx+7y2-x+t


(iii) t3-3t2+4t-5 (iv) xy + yz + zx

(i) x2-xy+7y2 is a polynomial in two variable x, y.

(ii) x2-2tx+7y2-x+t is a polynomial in two variable x, t.


(iii) t3-3t2+4t-5 is a polynomial in one variable t.


(iv) xy + yz + zx is a polynomial in three variable x, y, t.


More from this chapter

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3

Write the degrees of each of the following polynomials:

(i) 7x3+4x2-3x+12


(ii) 12 -x+2x3


(iii) 5y-


(iv) 7


(v) 0

 4

Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:

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


(iii) 2x+x2


(iv) 3y (v) t2+1


(vi) 7t4+4t3+3t-2

 6

Identify polynomials in the following:

(i) f(x) = 4x3-x2-3x+7


(ii) g(x) = 2x3-3x2+-1


(iii) p(x) = x2-x+9


(iv) q(x) = 2x2-3x++2


(v) h(x) = x4-+x-1


(vi) f(x) = 2++4x

 7

Identify constant, linear, quadratic and cubic polynomials from the following polynomials:

(i) f(x) =0 (ii) g(x) = 2x3-7x+4


(iii) h(x) = -3x+


(iv) p(x) = 2x2-x+4


(v) q(x) = 4x+3 (vi) r(x) = 3x3+4x2+5x-7