Question

which of the following are polynomals
A.0
B.1/x+x
C.-xyz^4
D.2x-x^-1
E.x^y
select all correct answers

Answer 1

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

Answer 2

so which ones would work in the question

Answer 3

Polynomials of small degree have been given specific names. A polynomial of degree zero is a constant polynomial or simply a constant. Polynomials of degree one, two or three are respectively linear polynomials, quadratic polynomials and cubic polynomials.

The polynomial 0, which may be considered to have no terms at all, is called the zero polynomial.

Answer 4

so it would be A,B,E

Answer 5

for e.g.,
3xy^-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)
2/(x+2) is not, because dividing by a variable is not allowed
1/x is not either
√x is not, because the exponent is "½" (see fractional exponents)
But these are allowed:

x/2 is allowed, because you can divide by a constant
also 3x/8 for the same reason
√2 is allowed, because it is a constant (= 1.4142...etc)

Answer 6

so whats the answers to the question

Answer 7

what do you think are the correct options?

Answer 8

B,E

Answer 9

what do u think ?

Answer 10

why not A.
As i mentioned earlier that 0 itself is a zero polynomial.

Answer 11

so it would just be A

Answer 12

and why not D
2x -x^-1
2x is a polynomial and x^-1 is not.
But still it's partially a polynomial.

Answer 13

so A,D thats all ?

Answer 14

wouldnt B work

Answer 15

No.. the question asks about selecting all the variables,
it means that it may contain more than one polynomial.

Answer 16

yeah.. B is a polynomial.

Answer 17

So the answers would be A.B,E and cant use D it has to be a polynomial cant just be half

Answer 18

wait..,why can't C?

Answer 19

a polynomial is an expression consisting of variables and coefficients
and -xyz^4 is a polynomial by definition.

Answer 20

let f(x)=1 x x^3-3 square root2/2x^99 what is f(0)

Answer 21

just put 0 inplace of x in f(x) and evalutate it.

Answer 22

so its 0

Answer 23

is this your question..?
\[f(x)=1*x ^{3}-\frac{ 3\sqrt{2} }{ 2x ^{99} }\]

Answer 24

ok next ?

Answer 25

let f(x)=x^3y^12+21.6x^13-sq root 8
A.the function f is a 13th degree trinomial
B.the function f is a 12th degree trinomial
C.the function f is a 15th degree trinomial
D.the function f is a 13th degree binomial
E. the function f is not a valid polynomial

Answer 26

if this is your question, then remember
anything divide by zero is indeterminate.
so\[1*0^{3}=0\]
but
\[\frac{ 3\sqrt{2} }{ 0^{99} }\] is indeterminate.
So, we can not find f(0).
But you can solve this by using limits to find the nearest value.

Answer 27

To find the degree of polynomial,just add the powers of polynomial terms and whichever is highest is the degree.
for e.g., in first term x^3y^12 (x has power 3 and y has 12)
so, overall degree of this term is (3+12=15)
similarly find the degree of other terms and the highest one is the degree of whole polynomial.

Answer 28

so the degree is 13 and its trinomial ?

Answer 29

i think 15 is higher than 13.

Answer 30

where did u get 15

Answer 31

i already explained buddy.., try to read that.

Answer 32

let f(x)=2x^3-7x^3+5x^3+123
A.the function f is a 3rd degree trinomial
B.the function f is a 12th degree monomial
C.the function f is a 3rd degree bionomial
D.the function f is a 0th degree monomial
E.the function is not a valid polynomial

Answer 33

try same procedure as earlier.
f(x)=2x^3-7x^3+5x^3+123
=x^3(2-7+5)+123
=x^3(0)+123

Answer 34

Can you answer it now..?

Answer 35

i need help ive got 4 more questions can u help me with them i dont have any help at home

Answer 36

i got 123

Answer 37

0th degree polynomials are another word for constants.
and we know that 123 is a constant and is a monomial also.

Answer 38

so its D

Answer 39

yeah,,

Answer 40

let f(x)=3x^2=x^3-2
A.the leading term is x^3,the constant term is -2
B.the leading term of f is 3x^2,and its contant term is 2
C.the leading term of f is 3x^2,and its constant term is -2
D.the leading term of f is x^3,and its constant term is 2

Answer 41

i think its C.

Answer 42

f(x)=3x^2+x^3-2..?

Answer 43

yes sorry i put = i meant +

Answer 44

always higher deree terms are arranged on left hand side.
means we start a polynomial from left to right in decreasing degree.
so f(x)=x^3+3x^2-2
that means the leading term is x^3 and constant is -2.

Answer 45

ok

Answer 46

the polynomial functions f(x)=12x^2+5x^4-2and g(x)-2+12x^2+5x^4 are equal
A. true
B.falsee

Answer 47

the polynomial functions f(x)=12x^2+5x^4-2and g(x)-2+12x^2+5x^4 are equal
A. true
B.false

Answer 48

be back in 15

Answer 49

i already told you buddy..., polynomials are always arranged from left to right in order of descending degree of terms.
so x^3 is leftwards than x^2 and x and constants.
x^4 remains leftwards than x^3 and all powers of x less than 3

Answer 50

so f(x)=12x^2+5x^4-2
=5x^4+12x^2-2
and g(x)=-2+12x^2+5x^4
=5x^4+12x^2-2
so f(x)=g(x)

Answer 51

so is true

Answer 52

yeah

Answer 53

can u help me with factors

Answer 54

what value in place of the question mark ,makes the polynomial factor a perfect square
x^2+12x+?