5x2y = 3x - 6y 5x2y + 6y = 3x y(5x2 + 6) = 3x y = (3x)/(5x2 + 6) This is a rational function.
5x2y is itself a monomial, but it can be simplified to 10xy.
if the 5x2y means 5x2y + 4x - 6 then yes it is a binomial but if the 5x2y means 5x * 2y + 4x - 6 then no it is not a binomial a nomial means one degree. a binomial means something to the second power. a polynomial means anything that has a 3rd power and greater.
That's a monomial.
In a linear equation given as y = mx + c, the c represents a constant. This is because the x- and y- variables don't directly influence it, and it remains exactly what it is - constant - no matter what.The m is the coefficient - the value which provides scale. It also remains constant, but it is coupled to the variable of this equation, x.In the quadratic equation y = ax2+ bx + c, the 'c' here is a constant, and both 'a' and 'b' are coefficients.Both 'a' and 'b' are attached to the variable x, so both are considered coefficients. This rule holds true for all orders of polynomials.(Important note: The letter 'c' is not always used to represent the constant value in an equation, so watch out - so long as it isn't influenced by the variable of the equation, it's the constant.)
I do the coefficients first. The GCF of 10 and 15 is 5. I tackle the variables next. The GCF of x2y and x3y2 is x2y I put it all together. The GCF of 15x2y and 10x3y2 is 5x2y.
((15xy2)/(x2+5x+6))/((5x2y)/(2x2+7x+3)) =(15xy2/5x2y)*(2x2+7x+3)/(x2+5x+6) =(3y/x)*(((2x+1)(x+3))/((x+2)(x+3) =(3y(2x+1))/(x(x+2)) =(6xy+3y)/(x2+2x)
The powers of x in the two terms are different.The powers of x in the two terms are different.The powers of x in the two terms are different.The powers of x in the two terms are different.
Multiply out all brackets (parentheses). Combine "like" terms. "Like" terms are those where any algebraic letters and their powers are exactly the same, but the numbers before them (the coefficients) may be different. Thus 2x2y and 3x2y are like terms and should be combined to make 5x2y. But 2x2y and 3xy2 are not like terms since in the first it is x that is squared while in the second it is y. Similarly, x and x2 are not like terms. Also, when combining terms, remember that x2y is 1x2y.
(x + 1) and (x + 2) are monomial factors of the polynomial x2 + 3x + 2. (x + 1) and (x + 3) are monomial factors of the polynomial x2 + 4x + 3. (x + 1) is a common monomial factor of the polynomials (x2 + 3x + 2) and (x2 + 4x + 3)