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!
A binomial is a polynomial with exactly 2 terms.
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.
Binomial. Binomial. Binomial. Binomial.
Yes, it is when a polynomial has two terms with a degree of 3. ex: 4x^3+7
2 a2 is a monomial, not a binomial but 2 + a2 is a binomial, so is 2 - a2 .
A binomial.
Binomials are algebraic equations with two different terms. Trinomials are algebraic equations with three different terms. For example, w^2 + 7w + 7 would be a trinomial because there are three terms in it and you can't simplify it any further. w + 7w would not be a binomial because you could still simplify it to be 8w, which is a monomial. w + 7 would be a binomial because there are two terms in it and you can't simplify it any further. Monomials have one term, binomials have two, trinomials three, and four terms and on are called polynomials. A linear binomial would be a binomial in which the highest exponent, or power, is one. For example, x + 2. A quadratic trinomial is a trinomial in which the highest exponent or power is two, or the second power. For example, w^2 + 7w + 8. A cubic binomial is a binomial in which the highest exponent or power is 3. For example, 7w^3 + x^2. Since three is larger than two, it is the highest power and the equation is a cubic binomial. Equations to the fourth power and on are simply called fourth degree, fifth degree, and so forth. For example, fourth degree binomial, sixth degree trinomial, and fifth degree monomial. To sum it up, Monomial = one term Binomial = two terms Trinomial = three terms Polynomial = +4 terms Linear = 1 is the highest power/exponent Quadratic = 2 is the highest power/exponent Cubic = 3 is the highest power/exponent Fourth degree, fifth degree, sixth degree, etc. = the highest power/exponent is four or larger.
A fourth degree polynomial.
A binomial is something with 2 numbers or compounds: 2+2 or (9x+2)(x-4)
The binomial expression (x+y)^2 can be expanded using the formula x^2 + 2xy + y^2.
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!
A binomial is a polynomial with exactly 2 terms.
Yes. One example of this is 5x4+3x3-x2+9.
Any expression with form Ax+b where a and b are constants are first degree binomials.
Any expression with form Ax+b where a and b are constants are first degree binomials.
The term with the highest power(s) of the unknown variable(s) is 7x2. The power is 2 so the expression is a binomial.