Question

If the equation (𝑥+10)𝑥=0 is true, which statement is also true according to the zero product property?

Group of answer choices

only 𝑥=0

either 𝑥=0 or 𝑥+10=0

either 𝑥2=0 or 10𝑥=0

only 𝑥+10=0

Answer 1

You should know that the zero product property states that

ab = 0

then either a = 0 or b = 0

Let me add colors for you

\(\color{red}{a}\color{orange}{b} = 0\)

then either \(\color{red}{a}=0\)
or \(\color{orange}{b} =0\)


so for your question
\(\color{red}{(x+10)}\color{orange}{x} = 0\)

which of the following statements is going to be true?