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Question

Determine the degree of each of the following polynomials.

(i) 4x5x2+6x32x

(ii) y2(yy3)

(iii) (3x2)(2x3+3x2)


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Solution

(i) 4x5x2+6x32x
Here, the highest power of x is 2. So, the degree of the polynomial is 2.

(ii) y2(yy3)
Here, the highest power of y is 5. So, the degree of the polynomial is 5.

(iii) (3x2)(2x3+3x2)=6x4+9x34x36x2=6x4+5x36x2
Here, the highest power of x is 4. So, the degree of the polynomial is 4.


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