Question

You are given a quadratic trinomial expression 7x^2+42x-49.
a. Factor the quadratic expression.
b. What are the zeros of the quadratic trinomial? Remember to show your work.
c. Explain what your solutions represent for the equation.

Answer 1

Step-by-step explanation:

7x² + 42x − 49

Factor using the AC method.

(x − 1) (7x + 49)

Set each factor to 0 to find the zeros.

x − 1 = 0, 7x + 49 = 0

x = 1, x = -7

These represent the x-intercepts of the graph y = 7x² + 42x − 49.