Question

The polynomial P(x) = 3 – 2x2 + 5x5 – 7x7 has what order?

Answer 1

Answer:

This, polynomial has order 7.

Step-by-step explanation:

Given the polynomial

P(x) = 3 – 2x2 + 5x5 – 7x7

$P(x) = 3 - 2x^2+ 5x^5 - 7x^7$

Order for any polynomial is highest exponential value for variables . The exponent for polynomial is also called as degree.

Hence in terms of degree, the term in polynomial which has  the highest degree . That degree is the order of the polynomial.

For example ,

in $x^5 + x^8 + x^9$

here we see that variable x has highest power of 9. Thus, order of the given equation is 9.

Similarly for the polynomial given we see that

in the polynomial $P(x) = 3 - 2x^2+ 5x^5 - 7x^7$

x has three power 2, 5 and 7 .

As 7 is the highest power of P(x) = 3 - 2x^2+ 5x^5 - 7x^7

This, polynomial has order 7.