24x^2-26x-8 middle term splitting
Answers
Step-by-step explanation:
24x^2-26x-8 =0.
2(12x^2 - 13x - 4)=0.
12x^2 - 13x - 4 = 0/2
12x^2 - 13x - 4 = 0.
Factoring 12x^2 - 13x - 4 =0.
The first term is, 12x2 its coefficient is 12 .
The middle term is, -13x its coefficient is -13 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 12 • -4 = -48
Step-2 : Find two factors of -48 whose sum equals the coefficient of the middle term, which is -13 .
-16 + 3 = -13 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -16 and 3
12x^2 - 16x + 3x - 4 =0.
=》4x(3x-4)1(3x-4)=0
=》(4x+1)(3x-4)=0.
=》4x+1=0 or 3x-4 =0.
=》4x= -1 or 3x=4.
=》x=-1/4 or x= 4/3.
24x^2-26x-8 =》 2 • (3x - 4) • (4x + 1)