Question

what is the factored form of 5x² + 26x - 32? drag and drop the factors into the boxes.
drag & drop the answer
5x - 4 5x + 4 x - 8 x + 8

Explanation:

Step1: Factor the quadratic

We need to factor \(5x^2 + 38x - 16\). First, find two numbers that multiply to \(5\times(-16)= -80\) and add to \(38\). The numbers are \(40\) and \(-2\).
Rewrite the middle term: \(5x^2 + 40x - 2x - 16\)

Step2: Group and factor

Group the terms: \((5x^2 + 40x) + (-2x - 16)\)
Factor out common factors: \(5x(x + 8) - 2(x + 8)\)
Now, factor out \((x + 8)\): \((5x - 2)(x + 8)\)

Answer:

The factored form is \((5x - 2)\) and \((x + 8)\)