MATH SOLVE

2 months ago

Q:
# Identify the zeros of each function.1. y = 5(x - 3)(x + 5) 2. y = (x - 9)(x + 4)3. y = (x - 7)

Accepted Solution

A:

Answer:1. The zeros are x = -5 & 32. The zeros are x = -4 & 93. Zero = x = 7Step-by-step explanation:Whenever we have an expression in the form:[tex](x-a)(x-b)[/tex]Where a and b are constantsTo find zeros, we take each term and equate to zero. That would be:x - a = 0x = aandx - b = 0x = bLikewise, let's find the zeros of each of the functions given:1.[tex]y = 5(x - 3)(x + 5)\\0=5(x - 3)(x + 5)\\0=(x - 3)(x + 5)\\[/tex]So,x - 3 = 0x = 3andx + 5 = 0x = -5The zeros are x = -5 & 32.[tex]y = (x - 9)(x + 4)\\0=(x - 9)(x + 4)[/tex]So,x - 9 = 0x = 9andx + 4 = 0x = -4The zeros are x = -4 & 93.[tex]y = (x-7)\\0 = (x-7)[/tex]x - 7 = 0x = 7The zero of this function is x = 7