Problem preview

A-REI.4.b Warmup M2-006-A02-V02

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 \(3x^{2}-10x+8=0\) by factoring. Verify the cross-term sum for the non-monic factorization and use the zero-product property to obtain both roots.

Answer choices

Choose your path.

Preview only

x = -8 and x = -3

x = 2

x = 3/2

x = 4/3 and x = 2

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Inside Gozunta

More than a preview

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now

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