Question

1. what are the zeros of the following function? express answers as ordered pairs. y = (x + 15)(x - 2) type a response 15. solve by factoring 3x² - 14x + 15 = 0 =0 (factored form) x= , x = (list from least to greatest)

Explanation:

Step1: Find zeros for Q14

Set $y=0$: $(x+15)(x-2)=0$. So $x+15=0$ or $x-2=0$.

Step2: Solve Q15 by factoring

Factor $3x^2 -14x +15$: $(3x-5)(x-3)=0$. Set each factor to 0.

Step3: List Q15 solutions

Solve $3x-5=0$ → $x=\frac{5}{3}$; $x-3=0$ → $x=3$. Order from least to greatest.

Answer:

For Q14: $(-15, 0), (2, 0)$
For Q15: $(3x-5)(x-3)$, $x=\frac{5}{3}, 3$