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How do you determine if a polynomial is the difference of two squares?
Wiki User
∙ 13y ago
"Difference" implies subtraction.
Example: The difference of 8 and 5 is 3 because 8 - 5 = 3.
To determine if a polynomial is the difference you probably have to subtract one polynomial from another and check if your answer matches a given polynomial.
To clarify the above, the polynomial should be able to be factorised into two distinct factors. For example x^2 - y^2 = (x + y)(x - y). This is the difference of two squares.
Wiki User
∙ 13y ago
Wiki User
∙ 12y agoFirst determine if both of the terms are squares. You can determine numerical squares by taking the square root. If the answer is a whole number, it's a square. All even numbered exponents are squares. If the sign between them indicates subtraction, you have a "difference of squares."
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What is the difference of the squares of two primes is 72 what are these two primes?
Two primes whose squares have a difference of 42 are 7and 11.
What binomial multiplied by (3x-4) gives a difference of two squares?
It is: (3x-4)(3x+4) is the difference of two squares
The product of the sum and difference of two terms is equal to the what of the squares of the terms?
The difference.
Can you express every odd prime number as the difference of two squares?
Every odd number greater than one is the difference of two squares. This includes all the odd prime numbers. To find the two numbers whose difference of squares equals a particular odd number, divide the odd number by 2. The two numbers are the integers immediately below and above that dividend. For example, 17 is the difference of two squares. Divide 17 by 2 and get 8.5. The two numbers are 8 and 9. 92 - 82 = 81 - 64 = 17.
How do you factor the difference of two squares x2-9?
(x + 3)(x - 3)
In general how would you factor the polynomial F2 - G2?
(F-G)(F+G) The difference of two squares.
Determine whether81 - 49n to the 8 power is a difference of two squares If so factor it If not explain why?
This expression is the difference of squares. It can be factored to (9 - 7n4)(9 + 7n4)
What is the main difference between a polynomial and a binomial?
The only difference is that a binomial has two terms and a polynomial has three or more terms.
Which properties of mutiplication are used to simplify complex fractions?
The difference of two squares which enables complex conjugates to be used.The difference of two squares which enables complex conjugates to be used.The difference of two squares which enables complex conjugates to be used.The difference of two squares which enables complex conjugates to be used.
What property of polynomial subtraction says hat the difference of two polynomials is always a polynomial?
Closure
How do you use the difference of two squares?
The formula to factor the difference of two squares, a2 - b2, is (a + b)(a - b).
How do you write 0 as the difference of two squares?
How can you have 0 as the difference of two squares? 5^2-5^2?
What is the difference of the squares of two primes is 72 what are these two primes?
Two primes whose squares have a difference of 42 are 7and 11.
What Factor the expression given below. Write each factor as a polynomial in descending order. x2 - 4?
It is x^2 -4 = (x-2)(x+2) when factored and it is the difference of two squares
What binomial multiplied by (3x-4) gives a difference of two squares?
It is: (3x-4)(3x+4) is the difference of two squares
How can you factor a polynomial in standard form completely?
You can factor a polynomial using one of these steps: 1. Factor out the greatest common monomial factor. 2. Look for a difference of two squares or a perfect square trinomial. 3. Factor polynomials in the form ax^2+bx+c into a product of binomials. 4. Factor a polynomial with 4 terms by grouping.
What is Difference of two square?
The difference of two squares is quick way to factor polynomials when certain constraints are met: Namely that you have two squares (e.g. 4, 25, 36x2 , 144a6) and one is subtracting from the others (e.g. 25 - 36x2). IF these two constraints are met, then you are able to factor the polynomial by finding the square roots of the squares. sqrt(25)=5 sqrt(36x2) = 6x Therefore 25 - 36x2 = (5+6x)(5-6x) in factored form. In general, given any two squares, a2 and b2, AND they are subtracting, a2 - b2, you can factor them to be (a + b)(a - b).
