From Jalon: The cubic function f(x) = (x+2)^3 touches the x axis only once at x = -2 (negative two). it could also be written as f(x) = (x+2)(x+2)(x+2)
Investigate the cubic functions below as well as the one above and comment clearlt and fully on where they touch/intersect the x axis, and how these points relate to the given function.
a) f(x) = (x – 3)(x +4)(x – 2)
b) f(x) = x(x + 1)^2 (^2 = that means it squared)
Your comments should reference graphs illustrating your conclusions and display another 2 trinomial graphs that demonstrate your conclusions. particular attention should be given to the number of times your function crosses or touches the X axis.
i dont know how this works but could you send the answer to..... spongy_91@hotmail.com Answered by Stephen La Rocque.
From Rick: The problem involves writing expressions, one in factored form and one in expanded form, for the area of a rectangle of sides x+2 and x+3. We've gotten as far as area = (x+2)(x+3). But I can't come up with the other expression. Answered by Penny Nom.
I'm having trouble factoring expressions that aren't monic. I can do things like
x2-9x+8, but problems like 12x2+5x-3 have me stumped.
I also have a question about factoring out common factors. In a problem like
x2-18x+81, wouldn't you divide by 9? But what happens to the x2, is it x2/9?
