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How do you complete the square to make a binomial a perfect-square trinomial?
The binomial usually has an x2 term and an x term, so we complete the square by adding a constant term. If the coefficient of x2 is not 1, we divide the binomial by that coefficient first (we can multiply the trinomial by it later). Then we divide the coefficient of x by 2 and square that. That is the constant that we need to add to get the perfect square trinomial. Then just multiply that trinomial by the original coefficient of x2.
What does square of binomial mean?
It means you multiply the binomial by itself. Multiplying polynomials requires multiplying every term of the first with every term of the second. For example, (a+b)2 = a2 + ab + ba + b2 = a2 + 2ab + b2.It means you multiply the binomial by itself. Multiplying polynomials requires multiplying every term of the first with every term of the second. For example, (a+b)2 = a2 + ab + ba + b2 = a2 + 2ab + b2.It means you multiply the binomial by itself. Multiplying polynomials requires multiplying every term of the first with every term of the second. For example, (a+b)2 = a2 + ab + ba + b2 = a2 + 2ab + b2.It means you multiply the binomial by itself. Multiplying polynomials requires multiplying every term of the first with every term of the second. For example, (a+b)2 = a2 + ab + ba + b2 = a2 + 2ab + b2.
How do you get the product of binomial and trinomial?
You multiply each element of the binomial into each element of the trinomial and then combine like terms. For example, (ax + b)*(cx2 + dx + e) = acx3 + adx2 + aex + bcx2 + bdx + be = acx3 + (ad + bc)x2 + (ae + bd)x + be
Can 2asquared be a binomial?
2 a2 is a monomial, not a binomial but 2 + a2 is a binomial, so is 2 - a2 .
What is the binomial factor of 2x-5?
(2x - 5) is a binomial factor
What is a binomial times a binomial?
You have to multiply each term in the first binomial, by each term in the second binomial, and add the results. The final result is usually a trinomial.
What is produced when you multiply a binomial square?
A quartic is produced when you multiply a binomial squared. It is defined as involving the fourth and no higher power of an unknown quantity or variable.
How do you get the binomial cube of 3m-2n 3?
To calculate the cube of a binomial, you can multiply the binomial with itself first (to get the square), then multiply the square with the original binomial (to get the cube). Since cubing a binomial is quite common, you can also use the formula: (a+b)3 = a3 + 3a2b + 3ab2 + b3 ... replacing "a" and "b" by the parts of your binomial, and doing the calculations (raising to the third power, for example).
What are the applications of pascal's triangle?
For binomial expansions. (When you have to multiply out many brackets, binomial expansion speeds things up greatly).
Can x-x be a binomial expression?
if the bar between the x's means multiply... x2 is a binomial because if you have an x squared this indicates that... x2 + 0x + 0 which is a binomial expression
What pattern are involve in multiplying binomial?
You multiply each term of one binomial by each term of the other binomial. In fact, this works for multiplying any polynomials: multiply each term of one polynomial by each term of the other one. Then add all the terms together.
Why can't you use FOIL to multiply a binomial?
you can. i am in algebra II and that's what i was taught
Is the associative property used to multiply a polynomial by a binomial?
Yes, but that is not the only property used.
How do you multiply trinomials with binomials in algebra?
A binomial has two terms, while a trinomial has 3 terms. So both terms of the binomial will multiply each term of the trinomial (distribution property). After the multiplication you'll have 6 terms. Look for like terms, if there are, combine them.
What is a binomial series in mathematics?
Binomial series is a mathematical concept where two numbers or quantities are compared to another quantity. One can learn more about binomial series on websites like WIkipedia.
What is another name for pascals triangle?
The expanded binomial is another name for Pascal's triangle.
Is this number a monomial or binomial or trinomial 30x6-1?
Binomial. Binomial. Binomial. Binomial.
