Whether 3x2+9 is a polynomial or not if yes, give the special name of the polynomial if it has one.
(a)
Expert Solution
Answer to Problem 1RE
Solution:
Yes, the expression 3x2+9is a polynomial and it is binomial.
Explanation of Solution
Given information:
Expression is 3x2+9.
A polynomial is a finite sum of monomial.
Now, while comparing expression 3x2+9 with the definition of a polynomial, it can be easily seen that this expression clearly follows all rules of a polynomial.
So, expression 3x2+9 is a polynomial.
As expression 3x2+9 has two terms, one is 3x2 and other is 9. and a polynomial with two terms is classify as binomial polynomial. also, highest power of variable x is 2 here and polynomial in only single variable x, so it also can be referred as quadratic polynomial.
(b)
To determine
The polynomial 3x2+9 in descending order of the variable x.
(b)
Expert Solution
Answer to Problem 1RE
Solution:
Descending order of the variable is 3x2+9.
Explanation of Solution
Given information:
Expression is 3x2+9.
To write a polynomial in descending order of its variable, the exponents on the variable descend or get lower as the terms go from left to right.
Here in expression 3x2+9 exponents of variable x is already in descending order from left to right.
(c)
To determine
Degree of the polynomial 3x2+9.
(c)
Expert Solution
Answer to Problem 1RE
Solution:
Degree of the polynomial expression 3x2+9 is 2.
Explanation of Solution
Given information:
Expression is 3x2+9.
The degree of a term with whole number exponents is the highest sum of the exponents of the variables.
Here is expression 3x2+9 sum of exponents of the variable is 2.
So, the degree of expression 3x2+9 is 2.
Want to see more full solutions like this?
Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
learn.edgenuity
: C&C VIP
Unit Test
Unit Test Review Active
1
2
3
4
Which statement is true about the graph of the equation y = csc¯¹(x)?
There is a horizontal asymptote at y = 0.
उद
There is a horizontal asymptote at y = 2.
There is a vertical asymptote at x = 0.
O There is a vertical asymptote at x=-
R
Mark this and return
C
Save and Exit
emi
ے ملزمة احمد
Q (a) Let f be a linear map from a space X into a space Y and (X1,X2,...,xn) basis for X, show that fis one-to-
one iff (f(x1),f(x2),...,f(x) } linearly independent.
(b) Let X= {ao+ax₁+a2x2+...+anxn, a;ER} be a vector space over R, write with prove a hyperspace and a
hyperplane of X.
مبر خد احمد
Q₂ (a) Let M be a subspace of a vector space X, and A= {fex/ f(x)=0, x E M ), show that whether A is
convex set or not, affine set or not.
Write with prove an
application of Hahn-Banach theorem.
Show that every singleton set in a normed space X is closed and any finite set in X is closed (14M)
Let M be a proper subspace of a finite dimension vector space X over a field F show that
whether: (1) If S is a base for M then S base for X or not, (2) If T base for X then base for M
or not.
(b) Let X-P₂(x) be a vector space over polynomials a field of real numbers R, write with L
prove convex subset of X and hyperspace of X.
Q₂/ (a) Let X-R³ be a vector space over a over a field of real numbers R and
A=((a,b,o), a,bE R), A is a subspace of X, let g be a function from A into R such that
gla,b,o)-a, gEA, find fe X such that g(t)=f(t), tEA.
(b) Let M be a non-empty subset of a space X, show that M is a hyperplane of X iff there
Xiff there
exists fE X/10) and tE F such that M=(xE X/ f(x)=t).
(c) Show that the relation equivalent is an equivalence relation on set of norms on a space
X.
Chapter 5 Solutions
Intermediate Algebra For College Students (10th Edition)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.