variable the expression by grouping. First, the expression demands to be rewritten together 2x^2+ax+bx-12. To uncover a and also b, set up a mechanism to be solved.

You are watching: Factor 2x^2-5x-12

Since abdominal is negative, a and also b have actually the opposite signs. Since a+b is positive, the confident number has higher absolute worth than the negative. List all such integer bag that give product -24.

2x2+5x-12 Final result : (2x - 3) • (x + 4) step by action solution : action 1 :Equation in ~ the end of action 1 : (2x2 + 5x) - 12 step 2 :Trying to variable by separating the middle term ...

2x2+5x-18 Final an outcome : (x - 2) • (2x + 9) step by action solution : step 1 :Equation in ~ the finish of action 1 : (2x2 + 5x) - 18 step 2 :Trying to aspect by dividing the middle term ...

x2+5x-120 Final result : x2 + 5x - 120 action by step solution : action 1 :Trying to aspect by separating the center term 1.1 Factoring x2+5x-120 The very first term is, x2 its coefficient is ...

x2+5x-126 Final result : (x + 14) • (x - 9) step by action solution : action 1 :Trying to aspect by separating the center term 1.1 Factoring x2+5x-126 The very first term is, x2 that is coefficient ...

\displaystylex_1,2=\frac-5\pm114 Explanation:For a general kind quadratic equation \displaystyle\left(ax^2+bx+c=0\right) the roots can be ...

\displaystyle\frac32 , and also -4Explanation:Solve the by the new Transforming an approach (Socratic Search). \displaystyley=2x^2+5x-12=0 reinvented equation: \displaystyley'=x^2+5x-24=0. ...

More Items

Factor the expression by grouping. First, the expression requirements to be rewritten together 2x^2+ax+bx-12. To discover a and also b, set up a device to be solved.

Since ab is negative, a and b have actually the the contrary signs. Because a+b is positive, the confident number has better absolute value than the negative. List all such integer pairs that give product -24.

Quadratic polynomial deserve to be factored making use of the change ax^2+bx+c=a\left(x-x_1\right)\left(x-x_2\right), whereby x_1 and x_2 room the solutions of the quadratic equation ax^2+bx+c=0.

All equations the the type ax^2+bx+c=0 have the right to be addressed using the quadratic formula: \frac-b±\sqrtb^2-4ac2a. The quadratic formula gives two solutions, one as soon as ± is addition and one as soon as it is subtraction.

See more: Composite A Store Is Offering A 25 Discount, A Store Is Offering A 25% Discount On All

Factor the initial expression making use of ax^2+bx+c=a\left(x-x_1\right)\left(x-x_2\right). Instead of \frac32 because that x_1 and also -4 because that x_2.