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1 answer:
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Answer:
The area of the rectangle A = 25x² - 20x
Step-by-step explanation:
Given
The width of the rectangle = w = 5x - 4
The length of a rectangle = l = 5x
To determine
The area of the rectangle = ?
Using the Formula to determine the area of the rectangle
substitute w = 5x - 4 and l = 5x in the formula
Apply distributive law: a(b-c) = ab - ac
as 5x(5x) = 25x² and 4(5x) = 20x, so
Therefore, the area of the rectangle A = 25x² - 20x
Answer:
The original polynomial is .
Step-by-step explanation:
The division of polynomial is analogue to the division of integers or natural numbers. For example, if we divide 25 by 6, we obtain that 4 is the quotient and the remainder is 1. We can recover 25 as 25 = 6*4+1.
Then, with this particular case, if we denote by P(x) the original polynomial, we have:
Expanding the above multiplication:
In general, given a polynomial P(x), if we divide it by another polynomial Q(x) (the divisor), there exist polynomials S(x) (the quotient) and R(x) (the remainder) such that
P(x) = Q(x)S(x) + R(x).
Answer: third option.
Step-by-step explanation:
By definition we know tht the geometric sequences has a common ratio, which is represented with <em>r.</em>
<em> </em>This ratio can be calculated by dividing a term by the previous term.
Therefore, keeping the information above on mind, you have that the ratio <em>r</em> of the geometric sequence given in the problem, is the shown below: