b^2 - 4ac
Is the discriminant.
6^2 - 4(3)(5)
36 - 60 = - 24 < 0
so, an unreal answer and no real X intercepts
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21x3-35x2+14x = 7x(3x2-5x+2)
The discriminant, ( first positive 4 in the constant, then negative 4 as you did not specify this ) b2 - 4ac ------------ (- 7)2 - 4(3)(4) 49 - 48 = 1 ============a positive number means two real roots ( - 4 now ) ( - 7)2 - 4(3)(- 4) 49 + 48 = 97 ============still positive and two real roots
It is of the 2nd degree.
16? using 16, you have (3x2 + 4)(3x2 + 4) = 9x2 + 24x + 16
49-(4*3*4) = 1
The discriminant is -32.
The degree of this polynomial is 2.
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It is a second degree polynomial.
x3 - 3x2 + x - 3 = (x2 +1)( x - 3)
-7
3x2 + 33x + 54 =3(x2 + 11x + 18) = 3(x + 9)(x + 2)
10
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "equals", "squared", "cubed" etc. The sign for the constant term is missing! Assuming it is meant to be a + the discriminant = (-4)2 - 4*(-3)*(1) = 16 + 12 = 28
In this case, the discriminant is less than zero and the graph of this parabola lies above the x-axis. It never crosses.
The equation is equivalent to: -3x2 - 12x - 1 = 0 [you could change signs to get 3x2 + 12x + 1 = 0 but that is not required] The discriminant is (-12)2 - 4*(-3)(-1) = 144 - 12 = 132