To factor the polynomial ( 125x^3 + 45x ), first, we can factor out the greatest common factor, which is ( 5x ). This gives us ( 5x(25x^2 + 9) ). The quadratic ( 25x^2 + 9 ) cannot be factored further using real numbers since it does not have real roots. Therefore, the complete factorization is ( 5x(25x^2 + 9) ).
y = 5x^3 - 45x is a polynomial equation that crosses the y axis at x=3.
The polynomial can be rewritten as (-4x^3 - 45x^2 + 9x). The degree of the polynomial is 3, which is determined by the highest exponent of (x). The leading coefficient, which is the coefficient of the term with the highest degree, is (-4).
3x3 - 24x2 + 45x = 3x(x2 - 8x + 15) = 3x(x2 - 3x - 5x + 15) = 3x[ x(x - 3) - 5(x - 3) ] = 3x(x - 5)(x - 3)
3015
It is an algebraic expression that can be simplified to: 45x -16
y = 5x^3 - 45x is a polynomial equation that crosses the y axis at x=3.
3x3 - 24x2 + 45x = 3x*(x2 - 8x + 15) = 3x*(x - 3)*(x - 5)
The coefficients of polynomials are the numbers in front of the variable expressions. Ex: In the polynomial: 3x^5 + 12x^2 - 45x + 134 the numerical coefficients are: 3,12,& -45
x(x + 9)(x + 5)
X3 - 4X2 - 45XX(X2 - 4X - 45)=============X is only common factor here.
If: -45x-6 = 2 Then: -45x = 2+6 => -45x = 8 And: x = -8/45
3x3 - 24x2 + 45x = 3x(x2 - 8x + 15) = 3x(x2 - 3x - 5x + 15) = 3x[ x(x - 3) - 5(x - 3) ] = 3x(x - 5)(x - 3)
3015
It is an algebraic expression that can be simplified to: 45x -16
to integrate 45x, you fisrt take note of the indices which is one you then take this idicies and add one to it this gives you 45x^1+1=45x^2 then u proceed by taking that resulting indices and dividing the function by this figure this gives [45x^2]/2 this is now the resulting integral
(5x+4)(9x+9) FOIL First (5x*9x=45x**2) Outside (5x*9=45x) Inside (4*9x=36x) Last (4*9=36) 45x**2+45x+36x+36 45x**2+81x+36 9(5x**2+9x+4x)
It is: -45x