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How do you factor out 5x plus 10x?
5x + 10x doesn't need factorization as you can just add them up (5x+10x=15x). However, if you really want to, 5x+10x=5x(1+2)=5x(3)=15x
How many solutions does y plus 5x equals -2 -15x-3y equals 6 have?
Sounds like a system of equations. Y + 5X = - 2 - 15X - 3Y = 6 substitution using first equation Y + 5X = - 2 Y = - 5X - 2 ==========insert into other equation as this is Y - 15X - 3(- 5X - 2) = 6 - 15X + 15X + 6 = 6 ========================This looks to be a dependent system that has an infinite number of solutions
When a certain polynomial is divided by x - 3 its quotient is xsquared - 5x - 6 and its remainder is 5 What is the polynomial?
From the Division Algorithm for Polynomials theorem,f(x) = q(x)g(x) + r(x) or we say:dividend = (quotient)(divisor) + (remainder)In our case,quotient = x^2 - 5x - 6; divisor = x - 3; and remainder = 5.Substitute what you know into the formula, and you will have:f(x) = (x^2 - 5x - 6)(x - 3) + 5f(x) = x^3 - 5x^2 - 6x - 3x^2 + 15x + 18 + 5f(x) = x^3 - 5x^2 - 3x^2 - 6x + 15x + 18 + 5f(x) = x^3 - 8x^2 + 9x + 23 (this is the required polynomial)
Factor 25x2 plus 30x plus 9?
25x2+30x+9 25*9=225 15*15=225 15+15=3025x2+15x+15x+9[5*5xx 3*5x] [3*5x 3*3]5x(5x+3)+3(5x+3)(5x+3)(5x+3)Answer: (5x+3)2
What is the greatest common monomial factor for 15x and -20xy?
35
