Question

Factor this Quadratic. What are the roots?

x²+2x-15
a) x=5 and x=-3
b) x=-5 and x=3
c) x=15 and x=1
d) x=-15 and x=-1

Answer 1

The factored form of the quadratic equation x²+2x-15 is (x+5)(x-3), and the roots are x = -5 and x = 3.

Step-by-step explanation:

To factor the quadratic equation x²+2x-15, we will look for two numbers that multiply to give -15 and add to give 2. These numbers are 5 and -3. Therefore, the factored form of the quadratic is (x+5)(x-3). To find the roots of the quadratic equation, which are the values of x that make the equation equal to zero, we set each factor equal to zero:

x + 5 = 0 → x = -5

x - 3 = 0 → x = 3

Therefore, the roots are x = -5 and x = 3, which corresponds to option b).