Question

3x – 3x^2 – 12 + x^4 + x^3 the degree of the polynomial is _______. ​

Answer 1

Answer:

We observe that the above polynomial has three terms. Here the first term is 2x2, the second term is -3x5 and the third term is 5x6.

Now we will determine the exponent of each term.

(i) the exponent of the first term 2x2 = 2

(ii) the exponent of the second term 3x5 = 5

(iii) the exponent of the third term 5x6 = 6

Since, the greatest exponent is 6, the degree of 2x2 - 3x5 + 5x6 is also 6.

Therefore, the degree of the polynomial 2x2 - 3x5 + 5x6 = 6.

Answer 2

3x has a degree of 1 (x has an exponent of 1) 5y3 has a degree of 3 (y has an exponent of 3) 3 has a degree of 0 (no variable)