Question

The degree of the polynomial 4x⁵+2x³-x⁷+5x-2 is​

Answer 1

Answer:

the highest degree is seen by the first term which has the highest degree in this question answer is 5

Answer 2

Answer:

7 degree (septic polynomials)

Step-by-step explanation:

For polynomial $4x^{5}+2x^{3}-x^{7}+5x-2$

We observe that the above polynomial has three terms. Here the first term is $4x^{5}$, the second term is $2x^{3}$ and the third term is $-x^{7}$.

Now we will determine the exponent of each term.

(i) the exponent of the first term $4x^{5}=5$

(ii) the exponent of the second term $2x^{3}=3$

(iii) the exponent of the third term $-x^{7}=7$

(iv)the exponent of the fourth term $5x=1$

(v)the exponent of the fifth term $-2=0$

Since, the greatest exponent is 7, the degree of $4x^{5}+2x^{3}-x^{7}+5x-2$ is also 7.

Therefore, the degree of the polynomial $4x^{5}+2x^{3}-x^{7}+5x-2=7$.