The constants of a polynomial is the term that has no variable attached to it.
<h3>The constant term</h3>
To determine the constant, we simply multiply the constant term in each factor of the polynomial.
So, we have:
<h3 /><h3>Polynomial P(x) = (x-2)(x-4)(x-5)</h3>


Hence, the constant is -40
<h3>Polynomial P(x) = (x-2)(x-4)(x+5)</h3>


Hence, the constant is 40
<h3>Polynomial P(x) =1/2(x-2)(x-4)(x+5)</h3>


Hence, the constant is 20
<h3>Polynomial P(x) = 5(x-2)(x-4)(x+5)</h3>


Hence, the constant is 200
<u>P(x) =-5(x-2)(x-4)(x+5)</u>


Hence, the constant is -200
Read more about polynomials at:
brainly.com/question/2833285
Answer:
10/3 liters
Step-by-step explanation:
Divide (4/3) by 2, then multiply by 5
Answer:
22.078
Step-by-step explanation:
I have attached the images above
Answer:
Recall that a relation is an <em>equivalence relation</em> if and only if is symmetric, reflexive and transitive. In order to simplify the notation we will use A↔B when A is in relation with B.
<em>Reflexive: </em>We need to prove that A↔A. Let us write J for the identity matrix and recall that J is invertible. Notice that
. Thus, A↔A.
<em>Symmetric</em>: We need to prove that A↔B implies B↔A. As A↔B there exists an invertible matrix P such that
. In this equality we can perform a right multiplication by
and obtain
. Then, in the obtained equality we perform a left multiplication by P and get
. If we write
and
we have
. Thus, B↔A.
<em>Transitive</em>: We need to prove that A↔B and B↔C implies A↔C. From the fact A↔B we have
and from B↔C we have
. Now, if we substitute the last equality into the first one we get
.
Recall that if P and Q are invertible, then QP is invertible and
. So, if we denote R=QP we obtained that
. Hence, A↔C.
Therefore, the relation is an <em>equivalence relation</em>.
Answer:
$16.25
Step-by-step explanation:
1. 33% of $25 is $8.75
2. Subtract $25.00 and $8.75
3. The answer is $16.25