Problem preview

A-REI.4.b Warmup M2-006-A02-V04

Solve quadratics by inspection, square roots, completing the square, formula, and factoring; express complex solutions.

Solve a non-monic quadratic equation by factoring a trinomial and using the zero-product property

Problem

Solve \(6x^{2}+x-2=0\) by factoring. Use the leading and constant products to construct the binomials, verify the middle term, and solve both linear equations.

Answer choices

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Preview only

x = 1/2

x = -2/3 and x = 1/2

x = -3 and x = 2

x = -2/3

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Curriculum context

Course: Math II
Standard: A-REI.4.b
Category: Algebra
Domain: Reasoning with Equations and Inequalities
Objective: Solve quadratics by inspection, square roots, completing the square, formula, and factoring; express complex solutions.
Problem type: Solve a non-monic quadratic equation by factoring a trinomial and using the zero-product property