Factor the expression by grouping. First, the expression needs to be rewritten as 2x^2+ax+bx-12. To find a and b, set up a system to be solved.

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Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product -24.
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2x2+5x-12 Final result : (2x - 3) • (x + 4) Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 + 5x) - 12 Step 2 :Trying to factor by splitting the middle hatchet ...
2x2+5x-18 Final result : (x - 2) • (2x + 9) Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 + 5x) - 18 Step 2 :Trying to factor by splitting the middle term ...
x2+5x-120 Final result : x2 + 5x - 120 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+5x-120 The first term is, x2 its coefficient is ...
x2+5x-126 Final result : (x + 14) • (x - 9) Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+5x-126 The first term is, x2 its coeffective ...
displaystylex_1,2=frac-5pm114 Explanation:For a general form quadratic equation displaystyleleft(ax^2+bx+c=0 ight) its roots can it is in ...
displaystylefrac32 , and -4Explanation:Solve it by the new Transforming Method (Socratic Search). displaystyley=2x^2+5x-12=0 Transformed equation: displaystyley'=x^2+5x-24=0. ...
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Factor the expression by grouping. First, the expression needs to be rewritten as 2x^2+ax+bx-12. To find a and b, set up a system to be solved.
Since ab is negative, a and b have the opposite signs. Since a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product -24.
Quadratic polynomial can be factored using the transformation ax^2+bx+c=aleft(x-x_1 ight)left(x-x_2 ight), where x_1 and x_2 are the solutions of the quadratic equation ax^2+bx+c=0.
All equations of the form ax^2+bx+c=0 can be solved using the quadratic formula: frac-b±sqrtb^2-4ac2a. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

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Factor the original expression using ax^2+bx+c=aleft(x-x_1 ight)left(x-x_2 ight). Substitute frac32 for x_1 and -4 for x_2.
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