Question

Find the degree of the polynomial:3x-3x2+12+x4+x3​

Answer 1

Answer:

the degree is 4

Step-by-step explanation:

Degree is the highest power of any equation.

So,the degree is 4.

Answer 2

Step-by-step explanation:

We observe that the above polynomial has five terms. Here the first term is 12, the second term is 8x, the third term is – 3x^2, the fourth term is x3 and the fifth term is x4.

Now we will determine the exponent of each term.

(i) the exponent of the first term 12 = 0

(ii) the exponent of the second term 3x = 1

(iii) the exponent of the third term – 3x2 = 2

(iv) the exponent of the fourth term x3 = 3

(v) the exponent of the fifth term x4 = 4

Since, the greatest exponent is 4, the degree of 3x-3x^2+12+x^4+x^3 is also 4.

Therefore, the degree of the polynomial 12 + 3x – 3x2 + x3 +x4 = 4.