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Solve quadratic equation 2x^2+5x-12 by factoring. Tiger Algebra's step-by-step solution shows you how to solve a quadratic equation by factoring.
To factor the quadratic equation 2x2 + 5x − 12, we multiply the coefficient of x2 by the constant term, find factors that sum to the middle coefficient, and then regroup and factor. The final factorization is (2x − 3)(x +4). This method systematically breaks down the process step-by-step.
Tiger shows you, step by step, how to solve YOUR Quadratic Equations 2x^2+5x-12=0 by Completing the Square, Quadratic formula or, whenever possible, by Factoring
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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.
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Trying to factor by splitting the middle term 2.1 Factoring 2x2+5x-12 The first term is, 2x2 its coefficient is 2. The middle term is, +5x its coefficient is 5. The last term, "the constant", is -12 Step-1 : Multiply the coefficient of the first term by the constant 2•-12= -24 Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is 5.
To factorise and solve for x, open two sets of brackets, i.e: (x ) (x ). For this question note than one x should be replaced by 2x such that (2x ) (x ). List the pairs of numbers that give a product of 12, i.e: 1 and 12, 2 and 6, 3 and 4. As 12 is minus in this equation, note that one number in each pair will need to be negative in order to ...
Learn how to solve definite integrals problems step by step online. Solve the quadratic equation 2x^2+5x+-12=0. Factor the trinomial 2x^2+5x-12 of the form ax^2+bx+c, first, make the product of 2 and -12. Now, find two numbers that multiplied give us -24 and add up to 5. Rewrite the original expression. Factor 2x^2+8x-3x-12 by the greatest common divisor 2.
Final answer: The factored form of 2x² + 5x - 12 is (2x + 3) (x - 4). Explanation: The factored form of the quadratic polynomial 2x² + 5x - 12 is found by factoring the polynomial into two binomials. To do this, we need to find two numbers that multiply to give -12 and add up to the coefficient of the middle term, which is 5 in this case.
To solve the equation, factor the left hand side by grouping. First, left hand side needs to be rewritten as 2x^ {2}+ax+bx-12. To find a and b, set up a system to be solved.
Math Algebra Algebra questions and answers Factor 5x2 – 2x + 5x – 2 by grouping.