Question

Given the expression 5a^2b – 13ab + 7a^3 – 4b, do the following as instructed below:

a)Write the polynomial in descending order.
b)Classify the polynomial by the number of terms.
c)State the degree of the polynomial.

Answer 1

help please

Answer 2

@ganeshie8

Answer 3

@triciaal

Answer 4

help please

Answer 5

a) 7a^3 +5a^2b -13ab -4b

Answer 6

b) Although the ^2b is unusual, the highest power seems to be ^3, therefore it would be a third degree equation.

Answer 7

sorry, the answer I gave to b should have been the answer to c)

Answer 8

oh ok but can you explian it to me to

Answer 9

b) there are 4 terms in the equation, and since we only label equations up to third degree, then it must be called a polynomial

Answer 10

what would you like me to explain @CUTEYPIE137

Answer 11

In fact, it says its a polynomial in the question

Answer 12

well um the descending order how did you get that @BPDlkeme234

Answer 13

A linear equation is one in which the highest power is 1 (e.g x+ y = 12)
A quadratic equation is one in which the highest power is 2 (e.g x^2 + y = 12)
a cubic equation is one in which the highest power is 3 (e.g. (x^3 + y^2+3 =12)
a polynomial is any equation in which the power is above this

Answer 14

You asked about the descending order. I simply looked at the powers. It seems to me that the highest power was ^3 so that term came first. next ^2b (as I said this is unusual) but I put it second since we dont know what b is. Next 13ab because it is simply to the power of 1 (i.e. any number to the power of 1 is itself e.g. 13 ^1 = 13), but it had two variables a and b. and finally the last term which had only one variable (-4b) so it went last.

Answer 15

oh thank you i understand um can you explain question b for me also please @BPDlkeme234

Answer 16

OH NEVERMIND

Answer 17

I know it would be a polynomial right @BPDlkeme234

Answer 18

@CUTEYPIE137 it is asking you to COUNT the number of terms in the expression
first term: 7a^3
2nd term: 5a^2b
3rd term: 13ab
4th term: -4b
therefore there are 4 terms in this expression.

Answer 19

ohhh

Answer 20

You understand now?@CUTEYPIE137

Answer 21

so it would be a cubic polynomial @BPDlkeme234

Answer 22

only if the highest power was ^3 in the expression.

Answer 23

is everything clear

Answer 24

yes so in this polynomial the highest power is 3 so it is a cubic polynomial

Answer 25

Well we dont use the words polynomial if it is a cubic equation, we simply say it is a cubic equation. polynomials are equations in which the power is greater than ^3

Answer 26

you are right it is a cubic equation, if we dont know what ^2b is.

Answer 27

oh ok thank so very much @BPDlkeme234

Answer 28

not an equation

Answer 29

correct @triciaal I had mentioned previously it was an expression not an equation