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Use the complex conjugate of (-7 + i) to remove the complex number from the denominator and then simplify.
See attached.
See attached.
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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