Question

Solve the equation using the zero-product property. (x-2)(x+7)=0
A. 2,-7
B. 2,7
C. -1,1
D. -2,-7

Answer 1

either x-2 =0
OR x+7 = 0

Answer 2

x=2 , x=-7

these make the inside 0

Answer 3

of the parentheses

Answer 4

Zero-product property says:\[(\color{Red}{number})(\color{blue}{number}) = 0 \implies\color{blue}{number}=0 \quad or \quad\color{red}{number }=0 \]

Answer 5

now solve for x for both the equation and get the value of x

Answer 6

Thanks guys :)

Answer 7

Therefore:\[ (x - 2)(x + 7) = 0 \implies x - 2= 0\quad \textbf{or} \quad x + 7 =0\]

Answer 8

The answer is A

Answer 9

thanks