Solving the equation 
we get 
Step-by-step explanation:
We need to solve the equation and find value of x
Solving:
So, solving the equation we get
Keywords: Solving Equations
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Answer:
Binomial
Step-by-step explanation:
Edited to add:
It can also be called a binomial because there are 2 unlike terms x and y. I'm not sure what you are studying, so it may be better to go with binomial. The Quartic is when you are looking at the degree of a single term polynomial.
You can name a polynomial based on terms, or based on degrees.
If it's based on degree it would be bi-quadratic, because it's ^4 and you have 2 different terms. If you're looking at terms it would be binomial because you have x and y to solve for.
The degree of terms is a major deciding factor whether an equation is homogeneous or not. A polynomial of more that one variable is said to be homogeneous if the degree of each term is the same. For example, 2x^7+5x^5y^2-3x^4y^3+4x^2y^5 is a homogeneous polynomial of degree 7 in x and y.
You have a 4 term polynomial with 2 variables x and y. The highest degree in your equation is 5 (4 + 1 from the first term) so the degree of the multivariable polynomial expression is 6.
All these answers are correct, it just depends what you're studying. If some of these words are new, and others you recognize from class or your book, go with the one that looks familiar.
<span>Step 1:
</span>
<span> (((22•5x2) + 25x) - 12x) - 15)))
</span>
<span>The first term is, <span> <span>20x2</span> </span> its coefficient is <span> 20 </span>.
The middle term is, <span> +13x </span> its coefficient is <span> 13 </span>.
The last term, "the constant", is <span> -15
</span></span>
<span>step 2 above, -12 and 25
<span>20x2 - 12x</span> + 25x - 15
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (5x-3)
Add up the last 2 terms, pulling out common factors :
5 • (5x-3)
Step-5 : Add up the four terms of step 4 :
(4x+5) • (5x-3)
Which is the desired factorization</span>Final result :<span> (5x - 3) • (4x + 5)
</span>
Notice that
(1 - <em>x</em>)⁵ (1 + 1/<em>x</em>)⁵ = ((1 - <em>x</em>) (1 + 1/<em>x</em>))⁵ = (1 - <em>x</em> + 1/<em>x</em> - 1)⁵ = (1/<em>x</em> - <em>x</em>)⁵
Recall the binomial theorem:
Let <em>a</em> = 1/<em>x</em>, <em>b</em> = -<em>x</em>, and <em>n</em> = 5. Then
We get an <em>x</em> ³ term for
2<em>k</em> - 5 = 3 ==> 2<em>k</em> = 8 ==> <em>k</em> = 4
so that the coefficient would be
You need to do length•width•height.
