The factors of 6x2+7x-5 are (3x+5) and (2x-1).
9
x2 + 8x - 9 = (x + 9)(x - 1)
Without knowing the plus or minus values of the given terms then it can't be considered to be a quadratic expression.
It factors to: (x-4)(x+1)
-- If the last term of the trinomial ... the one that's just a number with no 'x' ... is positive, then both factors have the same sign as the middle term of the trinomial. -- If the last term is negative, then the factors have different signs. If this was never pointed out in class, well, it should have been.
25x2-49y2 is the difference of two squares and can be factored as:- (5x-7y)(5x+7y)
It's a second degree trinomial in 'x'. Its numerical value depends on the value of 'x'.========================================================================The first contributor observed:Very nice exercise with the quadratic formula. But it doesn't apply here.The formula is used to solve a quadratic equation, but there's no equationhere ... the question doesn't say that the trinomial is equal to anything.If the trinomial were equal to zero, then your application of the formulais the way to solve it; but as it stands, there's nothing to solve.Also BTW: (B2 - 4AC) < 0 doesn't mean no roots. It means a pair of imaginaryor complex conjugate roots. A quadratic equation alwayshas two roots, eventhough they may be equal or imaginary.
2(5x + 7)(x - 5)
The only factors of 6 which add to 7 are 1 & 6 so: (x - 1)(x - 6)
I'd substitute the values -2, 8 and 130 into the quadratic formula and wind up with two real solutions: 2 plus or minus -1 times the square root of 69 x = -6.306623862918075 x = 10.306623862918075
That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: (-615 plus or minus 15 times the square root of 3281) divided by 2. x = 122.10010474859058 x = -737.10010474859058
With the help of the quadratic equation formula