5x2 + 3x - 2 is a polynomial so, we can say: p(x) = 5x2 + 3x - 2
which is of the form of ax2 + bx + c
First of all multiply the coefficient of x2 with c
Here a = 5 and c = -2
ac = 5(-2) = -10
Break the coefficient of x i.e. b into two numbers such that the product of the numbers is equal to ac.
We can't break 3 into two numbers so that their product is -10.
So, it is not possible to factor p(x).
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I can. So can you. I'll go first. (x - 1)(5x + 8) You get the next one.
3
5x2 + 3x + 8x2 = 13x2 + 3x = x(13x + 3)
5x3 - 3x2 + 2x = x*(5x2 - 3x + 2) The quadratic has no real factors.
(x + 3)(3x^2 - 4x + 6)