Algebra-1

To find the x-intercepts of the quadratic function y = 2x² + 7x - 4, we set y to 0 and solve for x.

2x² + 7x - 4 = 0

To factorize the quadratic equation, we can use factoring, completing the square, or the quadratic formula. In this case, factoring is the most convenient method.

The factored form of the quadratic equation is:

(2x - 1)(x + 4) = 0

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