This is the print version of Human Physiology You won't see this message or any elements not part of the book's content when you print or preview this page. Homeostasis Overview The human organism consists of trillions of cells all working together for the maintenance of the entire organism. While cells may perform very different functions, all the cells are quite similar in their metabolic requirements. Maintaining a constant internal environment with all that the cells need to survive oxygen, glucose, mineral ions, waste removal, and so forth is necessary for the well-being of individual cells and the well-being of the entire body.
Long division of polynomials Video transcript In this video, we're going to learn to divide polynomials, and sometimes this is called algebraic long division. But you'll see what I'm talking about when we do a few examples. Let's say I just want to divide 2x plus 4 and divide it by 2.
We're not really changing the value. We're just changing how we're going to express the value. So we already know how to simplify this. We've done this in the past.
We could divide the numerator and the denominator by 2, and then this would be equal to what? This would be equal to x plus let me write it this way-- it would be equal to, if you divide this by 2, it becomes an x.
You divide the 4 by 2, it becomes a 2. If you divide the 2 by 2, you get a 1. So this is equal to x plus 2, which is pretty straightforward, I think. The other way is you could have factored a 2 out of here, and then those would have canceled out.
But I'll also show you how to do it using algebraic long division, which is a bit of overkill for this problem. But I just want to show you that it's not fundamentally anything new.
It's just a different way of doing things, but it's useful for more complicated problems. So you could have also written this as 2 goes into 2x plus 4 how many times? And you would perform this the same way you would do traditional long division. You'd say you always start with the highest degree term.
You would ignore the 4. Well, it goes into 2x x times and you put the x in the x place. And just like traditional long division, you now subtract. So 2x plus 4 minus 2x is what? And then 2 goes into 4 how many times? It goes into it two times, a positive two times.Divide using synthetic division, and write a summary statement in fraction form.
11) 2 x 4 - x 3 - 15 x 2 + 3x Use the Binomial Theorem to expand the expression and express the result in simplified form.. 15) (4 x + 3) 5 Write the equation in its equivalent exponential form. 35) log 4 64 = 3. (SYNTHETIC DIVISION) STEPS IN DIVIDING A POLYNOMIAL Y (x-a) 1.
Arrange the term of P(x) in descending order. Example 1: Write each number in prime factored form. a) = 2 · 5 · 2 · 5 = 2² · 5² b) 29 = Since 29 is prime, its prime form is A statement used to define an order relation is an inequality, that is, it is a.
In each case we will simply write down the previously found zeroes and then go back to the factored form of the polynomial, look at the exponent on each term and give the multiplicity. a In this case we’ve got two simple zeroes: \(x = - 5,\,\,x = 3\).
EXAMPLE 3 Using Synthetic Division Divide 2x3 — 3x2 — 5x — 12 by x — 3 using synthetic division and write a summary statement in fraction form. 2X3 _ x 3. EXAMPLE 3 Using Synthetic Division Divide 2x3 — 3x2 — 5x — 12 by x — 3 using synthetic division and write a summary statement in fraction form.
12 = + 3x + 4, x 3. 2X3 _. SOLUTION: Divide using synthetic division, and write a summary statement in fraction form. two x to the fourth minus x cubed minus fifteen x squared plus three x divided by quantity x plu Algebra -> Polynomials-and-rational-expressions -> SOLUTION: Divide using synthetic division, and write a summary statement in fraction form.
Dividing Polynomials Using Synthetic Division: (Note: This procedure can only be used when the divisor is in the form (a linear binomial).) Ex 4: Divide the polynomial by. With the polynomial in standard form, write the coefficients in a row.