x^2+16/ 4
Is this a polynomial?why or why not?
2006-09-20 19:23:42 · 17 answers · asked by pssoliman 1 in Science & Mathematics ➔ Mathematics
yup ... its a polynomail coz it is a quadratic and all quads are special forms of a polynomials
2006-09-20 19:27:06 · answer #1 · answered by robokid 2 · 0⤊ 1⤋
Yes, it's a polynomial. It's a specific polynomial known as an quadratic polynomial. A polynomial is a structure which contains a variable (x) with more then one power.
Consider:
x² + 16/4 = x² + 4
= x² + 0(x) + 4x°
= x² + 0 + 4(1)
= x² + 4
2006-09-20 20:26:04 · answer #2 · answered by Brenmore 5 · 1⤊ 0⤋
x^2+16/4=x^2+4
yes it is a polynomial coz a polynomial is an algebraic expression with two or more or even one literal (variables) and the denominator of the fraction is not a variable / literal .
2006-09-20 19:46:45 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Yes, because it can be written in the form of ax^2 +bx + c where a,b and c are constants. This is a second order polynomial because the power to which x is raised is 2.
2006-09-20 19:34:22 · answer #4 · answered by retired 2 · 0⤊ 0⤋
"Definition [of polynomial]: (1) Any function which is the sum of constants times powers of the argument"
f(x) = 1*x^2 + 0*x^1 + (16/4)*x^0
Paul E. Black, "polynomial", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed., U.S. National Institute of Standards and Technology. 17 December 2004. (accessed TODAY) Available from: http://www.nist.gov/dads/HTML/polynomial.html
2006-09-20 20:10:29 · answer #5 · answered by Helmut 7 · 0⤊ 0⤋
(x^2+16)/4 or x^2 + 16/4
is a polynomial because the power of x is a natural integer number such as 0, 1,2,3,4,...
2006-09-20 20:44:57 · answer #6 · answered by iyiogrenci 6 · 0⤊ 0⤋
of course. 16 upon 4 gives 4...and 4 is a perfect square..so your answer can be factorised..(x+2)(x-2)...thus,itz a polynomial,since quadratics are special forms of polynomials...and also because it can be written in the form of ax square+bx+c....hope i`ve been a bit helpful to you dear.
2006-09-21 00:30:49 · answer #7 · answered by sweetfloss8 2 · 0⤊ 0⤋
In algebra ninety% of what you are able to desire to do is element. right here factoring the impressive and backside provides you with (x - 2)(x + 2) / 2(x - 2) as quickly as you do this you would be able to eliminate an (x - 2) from the impressive and backside. this could bypass away you with (x + 2) / 2. to unravel for x i assume the unique equation replaced into equivalent to 0. so which you would be able to prefer to get x by it extremely is self. the 1st component i could do is distribute the /2. so which you would be able to have have x/2 + 2/2 = 0 or x/2 +a million = 0 then x/2 = -a million so x = -2
2016-10-17 09:15:55 · answer #8 · answered by Anonymous · 0⤊ 0⤋
(x^2 + 16) / 4 = (.25)*(x^2) + 4
and that is definitely a polynomial
2006-09-20 19:28:07 · answer #9 · answered by vinzklorthos 2 · 1⤊ 0⤋
polynomial whats that poly = many, nomial = terms? x^2 is one term y is another term. 4 is a number(which are also terms) xy,x,y,y^2,2 are all DIFFERENT terms. you cant add xy to x or y to xy. xy + y= xy+y. so to answer your question. IS it polynomial. Really, from all the info i have given i think you could come up with your own answer. btw if there is only one term it is not a polnomial.
2006-09-20 19:29:47 · answer #10 · answered by strontium b 1 · 0⤊ 0⤋
yes it is polynomial as polynomial has standard expression a(x^2)+b(x)+c
a<>0
2006-09-21 03:04:36 · answer #11 · answered by CHIMPU 2 · 0⤊ 0⤋