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A binomial of degree 2 is a polynomial expression that consists of two terms and has a total degree of 2. An example of such a binomial is ( ax^2 + bx ), where ( a ) and ( b ) are constants, and the highest exponent of the variable ( x ) is 2. This type of binomial can be factored or used in various mathematical applications, including quadratic equations.
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What are the degree of polynomials?
The degree of a monomial is the sum of the exponents. Example: 28x3yn2. Although the letters are different, the degree is 3+1+2. The 1 is understood above the y. So the degree is 6. The degree of anything besides a monomial is the highest degree of the other monomials. For example: 77a3b5c6+100xyz. | | 3+5+6 1+1+1 14 3 Although the 100 is the bigger number, the degree of this binomial is 14. The same is for a trinomial etc. You just find the degree of all monomials. The highest degree is the degree the whole binomial/trinomial ect. I hope I helped!
What is the relationship between binomial and a polynomial?
A binomial is a polynomial with exactly 2 terms.
X2 -5kx plus 25 the square of binomial. what is a possible value of k?
k can be 2 or -2. A binomial squared is: (a + b)² = a² + 2ab + b² Given x² - 5kx + 25 = (a + b)² = a² + 2ab + b² we find: a² = x² → a = ±x 2ab = -5kx b² = 25 → b = ±5 If we let a = x, then: 2ab = 2xb = -5kx → 2 × ±5 = -5k → k = ±2 If k = 2 then the binomial is (x - 5)² If k = -2 then the binomial is (x + 5)² To be complete if a = -x, then: If k = 2 then the binomial is (-x + 5)² If k = -2 then the binomial is (-x - 5)² which are the negatives of the binomials being squared.
Is this number a monomial or binomial or trinomial 30x6-1?
Binomial. Binomial. Binomial. Binomial.
Is it possible to have a cubic binomial in algebra?
Yes, it is when a polynomial has two terms with a degree of 3. ex: 4x^3+7
