If you mean: 2x2+7x+5 then it is (2x+5)(x+1) when factored
Yes. If the coefficient of the third degree terms in one polynomial are the additive inverses (minus numbers) of the coefficient of the corresponding terms in the second polynomial. Eg: 3x3 + 2x2 + 5 and -3x3 + x - 7 add to give 2x2 + x - 2
The factor theorem states that for any polynomial function f(x), if f(a) = 0, then (x-a) is a factor of f(x). Let f(x) = x3-2x2-8x-5. If (x+1) is a factor, then f(-1) = 0. (x+1 = x - (-1)) Input x = -1 into f: (-1)3-2(-1)2-8(-1)-5 f(-1) = -1 -2 + 8 - 5 f(-1) = 0. Since f(-1) = 0, (x+1) is a factor of x3-2x2-8x-5. Q.E.D.
The GCF of 12x and 20x to the fourth power is 4x
The factorisation is as follows: 2x2 + 7x - 9 = (x - 1)(2x + 9).
If that's +28, the answer is (x - 4)
(x - 2)(2x + 9)
2x2+5x+3 = (2x+3)(x+1) when factored
2x2-3x-5 = (2x-5)(x+1) when factored
2(x + 4)(x - 10)
x3 - 2x2 + x - 2 =(x - 2)(x2 + 1)
A quadratic polynomial.
yes
Trinomial
The discriminant is -7
quadratic
Divide all terms by 3:- 2x2+5x-3 = (2x-1)(x+3) when factored
The discriminant is 88.