Question

write each polynomial in standard form. then classify by degree and by number of terms.
1.-3+3x-3x
2.1-.2s+5s^1
3.x(x+5)-5(x+5)
4.(3c^2)^2

Answer 1

-3+3x-3x what would that be?

Answer 2

im not ssure

Answer 3

if you have x+x= ? what would be on the question mark?

Answer 4

2x

Answer 5

indeed, so 3x-3x would be?

Answer 6

just x?

Answer 7

ZEROOOOOOOOOOOOOOOOOOOO.

Answer 8

degree of equation is the highest power to which it is raised

Answer 9

It will cancel out!

Answer 10

thats not the problem. what i need is to tell if they are constant or linear or quadratic ect & monomial or binomial and trinomial, ect.

Answer 11

exponent: the power to which the variable is raised.

degree = highest exponent in the expression ----> find the exponents of all terms, the highest number among them is the degree.


example : x + 2x^2 +9

x = x^1 ----> exponent = 1
2x^2 ----> exponent = 2
9 = 9x^0 ------> exponent = 0

so for x+2x^2 +9, the degree = highest exponent = 2
got this?

Answer 12

number of terms :

only one term -----> monomial (examples: 9 , 4x , x^3 , (y^2)^2 and so on)
2 terms -----> binomial, (examples : x+2, x^2 +x^9 , a-bc and so on)
3 terms -----> trinomial (examples: x^2+4x+8, a+bc+defg and so on)

Answer 13

yes thank you . thats all i needed to know.

Answer 14

so what degree and number of terms you got for your questions ?

Answer 15

i got them right & how would you solve this \[\frac{ 3x ^{4}4x-5 }{ 4 }\]

Answer 16

is it really \(3x^44x\) ?
or did you miss out any sign in between ?

Answer 17

\[\frac{ 2x ^{4}+4x-5 }{ 5 }\] sorry this is the equation

Answer 18

its not "solve"
you mean you want to find the degree and number of terms, right ??

whats the exponent of
2x^4 ----> ??
4x ------>??
5 ----> ??
and which among them is the highest ?

Answer 19

and as we see, there are clearly 3 terms, so its a trinomial.

Answer 20

but what about the 4 under 2x^4+4x-5

Answer 21

(2x^4+4x-5)/4 = 2x^4 /4+4x/4-5/4
2x^4 /4
+4x/4
-5/4
still 3 terms :)
and the degree = 4

Answer 22

got it thank you. its a quadratic trinomial right

Answer 23

since the degree is 4, its "quartic"
(quadratic means degree =2)

so its actually a quartic trinomial.

Answer 24

yes sorry i got confused

Answer 25

no prob :)