12x2-23x+10 = (3x-2)(4x-5) when factored
5x2+11x+2 = (5x+1)(x+2) when factored
5x^2(x^2 + 5)
(5x - 2)(x - 5)
(2x + 1)(x + 2)
(5x + 3)(4x^2 + 1)
12x2-23x+10 = (3x-2)(4x-5) when factored
If that was 2x^2 + 5x + 2, it would factor to (2x + 1)(x + 2)
2x^2(3x - 2)(2x + 3)
x4 - 4x3 - 12x2 -32x + 64 (x - 4)(x + 2)(x + 2)(x - 4)
5x2+11x+2 = (5x+1)(x+2) when factored
(2x + 1)(x + 2)
5x^2(x^2 + 5)
You would first factor out anything that is common between the 3 parts. 2x2 is the greatest common factor. To pull out the 2x2, you divide each term by 2x2 like so:12x4/2x2=6x210x3/2x2=5x-12x2/2x2=-6We now know that 12x4+10x3-12x2= 2x2(6x2+5x-6)The next step involves using the "slip and slide" method for the trinomial inside the parentheses:6x2+5x-6x2+5x-36(x+9)(x-4)(x+9/6)(x-4/6)(x+3/2)(x-2/3)(2x+3)(3x-2)Remembering that the result for the slip and slide method only accounts for 6x2+5x-6 we must multiply (2x+3)(3x-2) by 2x2.Your final answer is 2x2(2x+3)(3x-2).
(5x + 2)(x + 1)
(5x - 2)(x - 5)
(2x + 1)(x + 2)