Answer:
Step-by-step explanation:
Factoring an expression is the process of undoing the multiplication.
Assume you have a function f(x):
This can be factored:
Using multiplication and the distributive property, you arrive back to:
Then you can see clearly that all we've done is reverse the multiplication.
The quotient of a trinomial and monomial can be 9x² +2x + 1 while the product of the polynomials x² + 2x + 1 and 3x² - 1 is 3x⁴ + 6x³ + 2x² - 2x - 1
<h3>The quotient of a trinomial and monomial</h3>Let the variable be x.
Trinomial are polynomials that have three terms, while monomials have a single term.
Using the above definition, we have:
Trinomial = 9x³ + 2x² + x
Monomial = x
The quotient of the above is represented as:
Evaluate the quotient
9x² +2x + 1
<h3>The product or quotient of polynomials</h3>To do this, we make use of the following polynomials:
x² + 2x + 1 and 3x² - 1
The product is represented as:
(x² + 2x + 1) * (3x² - 1)
Expand
3x⁴ - x² + 6x³ - 2x + 3x² - 1
Evaluate the like terms
3x⁴ + 6x³ + 2x² - 2x - 1
Hence, the product of the polynomials x² + 2x + 1 and 3x² - 1 is 3x⁴ + 6x³ + 2x² - 2x - 1
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Answer:
Step-by-step explanation:
Given:
The table is given as:
x 0 4 7 8
y 0 24 42 48
The relationship between 'x' and 'y' is a proportional relationship.
A proportional relationship is one in which one variable varies directly with the other by a factor of 'k' also known as constant of proportionality and
A proportional relationship is given as:
Now, we plug in 'x' and 'y' values and find the value of 'k'.
Let
Therefore, the constant of proportionality is 6. Hence the complete equation is given as: