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The product of the polynomials (2x3 + 3x2) and (4x4 − 5x3 − 6x2) is 8x7 + 2x6 − 27x5 −18x4 During the boston tea party, demonstrators The correct answer is a

This results from distributing each term and combining like terms. This event was a significant act of protest by the american colonists against the british government's imposition of taxes without representation See the answer to your question

What is the product of the following two polynomials

The area of a rectangle is 27x5 + 9x4 − 18x3 square feet The width of the rectangle is 9x2 feet What is the length of the rectangle Do not include parenthesis in your answer

Factor out the greatest common factor (gcf) Both terms have a common factor of 3x 27x5 −75x = 3x(9x4 − 25) Factor the difference of squares

Notice that the expression inside the parentheses, 9x4 − 25, is a difference of two squares

We can rewrite it as 9x4 − 25 = (3x2)2 − 52. To factor 27x5 − 24x4 completely, we identify the greatest common factor, which is 3x4 Factoring this out, we obtain the expression 3x4(9x − 8)

This factorization can be verified by distributing back to the original expression. 8x7 +2x6 − 27x5 − 18x4 thus, the product is 8x7 + 2x6 −27x5 − 18x4 For example, engineers use polynomial multiplication to model the behavior of systems, such as the trajectory of a projectile or the growth of a population. I am assuming when you write 27x5 u mean 27 times x to the power of 5

To determine if x + 3 is a factor of 7x3 +27x2 + 9x − 27, we can use synthetic division or polynomial division

Here, i'll use synthetic division to keep it straightforward Since x + 3 is a factor, we solve x + 3 = 0 which gives x = −3 This root will be used in synthetic division Set up the synthetic division

Write down the coefficients of the polynomial 7x3 + 27x2. The chronological order of events related to the american revolutionary war begins with the boston tea party in 1773

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