f(x) = 3x4 - 2x2 + 7f ' (x) = 12x3 - 4xf ' ' (x) = 36x2 - 4
36
No answer in integers. Near approximation x = -0.09 or -1.24
36x2 + 12x + 1 = (6x + 1)2
If that's + 6x3, the answer is x(x - 6)(x + 6)(x + 6) or x(x - 6)(x + 6)2
36x2=72
f(x) = 3x4 - 2x2 + 7f ' (x) = 12x3 - 4xf ' ' (x) = 36x2 - 4
36x2=72
(6x+5)(6x-5)
(6x + 5)(6x - 5)
It can be factored as 18(5-2x^2)
36x2 - 4y2 = (6x - 2y) (6x + 2y)
The difference of two squares is quick way to factor polynomials when certain constraints are met: Namely that you have two squares (e.g. 4, 25, 36x2 , 144a6) and one is subtracting from the others (e.g. 25 - 36x2). IF these two constraints are met, then you are able to factor the polynomial by finding the square roots of the squares. sqrt(25)=5 sqrt(36x2) = 6x Therefore 25 - 36x2 = (5+6x)(5-6x) in factored form. In general, given any two squares, a2 and b2, AND they are subtracting, a2 - b2, you can factor them to be (a + b)(a - b).
There is a formula for "the difference of squares." In this case, the answer is (6x + 11y)(6x - 11y)
36
1 yard = 36 inch 2 yards = 36x2 =72 inches
362+60x+25 (6x+5)(6x+5)