Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. A two-c
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By factor theorem (v+5) is not a factor of the given polynomial f(v).
What does factor theorem mean?
When thoroughly factoring the polynomials, mathematicians apply the factor theorem. The polynomial's zeros and factors are connected by this theorem.
The factor theorem states that if a is any real number and f(x) is a polynomial of degree n 1 then (x-a) is a factor of f(x) if f(a)=0.
The factor theorem states that
f(x) has a factor (x-k) if and only if f(k) = 0
We are given the following information.
F(v) = v 4 + 16v 3 + 8v 2 - 725
We have to check whether (v+5) is a factor of given polynomial.
( v + 5 ) = ( v - ( - 5 )
f( -5 ) =
= - 1900
f(-5) ≠ 0
Learn more about factor theorem
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Given:
Principal (P)= $1,000
Rate of interest (R)= 4% = 0.04
Simple interest (I)= $100
To find:
The time for which she deposits $1000 into a savings account at 4% simple interest.
Solution:
The formula for simple interest is
On substituting P=1000, R=0.04 and I=100 in the above formula, we get
Divide both sides by 40.
Therefore, the required time is 2.5 years.