Which of the following is a linear factor of 2xsqaured - x -6.
Show your work and explain NO Calculators.
A) 2x - 3
B) x + 2
C) 2x +3
D) x - 3
Congrats ahead of time to those who got C) which is the correct answer.
2007-12-30 04:52:03 · 7 answers · asked by innosa 2 in Science & Mathematics ➔ Mathematics
2x² - x - 6 = (2x + 3)(x - 2)
OPTION C)
2007-12-31 01:42:18 · answer #1 · answered by Como 7 · 1⤊ 0⤋
2x^2 - x - 6
Delta = 1 - 4*2*(-6) = 1 + 48 = 49
Root Of Delta = 7
x1 = (- b + rootof49)*2a
=( 1 + 7 )*4 = 2
x2 = (- b - rootof49)*2a
= (1 -7 )*4 = -6/4 = - 3/2
2x^2 - x - 6
=2(x - x1)(x-x2)
=2(x-2)( x +3/2)
=(x-2)(2x+3)
2x + 3 is a factor then C is the correct answer .
2007-12-30 13:03:44 · answer #2 · answered by Anonymous · 0⤊ 0⤋
I'd usually write "2xsqaured - x -6" as
2x^2 - x -6
= (2x +3) * (x - 2)
just multiply it out:
for instance
2x * (x - 2) = 2x^2 - 4x .......... (i)
and
3 * (x - 2) = 3x - 6 .......... (ii)
now add these two together [ (i) + (ii) ]
(2x^2 - 4x) + (3x - 6 ) to get
2x^2 -x -6
which is what you want
(I think) ....... good luck
2007-12-30 13:01:09 · answer #3 · answered by atheistforthebirthofjesus 6 · 0⤊ 0⤋
2x² -x -6 = (2x+3)(x - 2). So C) is the correct answer.
Use the FOIL rule to check it.
2007-12-30 13:06:53 · answer #4 · answered by steiner1745 7 · 0⤊ 0⤋
2x^2 -x -6
= (2x+3)(x-2)
So C) 2x + 3 is indeed the right answer.
2007-12-30 13:03:01 · answer #5 · answered by ironduke8159 7 · 0⤊ 0⤋
The answer would be A.
It would be (x-2)(2x-3) if 2x^2-x-6 is factored.
2007-12-30 12:57:14 · answer #6 · answered by nightowl 2 · 0⤊ 1⤋
(2x + 3)(x - 2) = 2x^2 - x -6
Let's get something a little harder.
2007-12-30 12:57:59 · answer #7 · answered by Anonymous · 1⤊ 0⤋