Question

Write the function a a product of linear factor by grouping or using the x method or a combination of both

g(x) = x2 - 9

Answer 1

`\boxed{\boxed{\pink{\sf Option \ A \ is \ correct .}}}`

Explanation:

Given function to us is :-

`\bf \implies g(x) = x^2 - 9`

And we , need to write the function a a product of linear factor by grouping or using the x method or a combination of both . So let's factorise this ,

`\bf \implies g(x) = x^2 - 9 \\\\\bf\implies g(x) = x^2-3^2\\\\\bf\implies \boxed{\red{\bf g(x) = (x+3)(x-3) }}\:\:\bigg\lgroup \blue{\tt Using \ (a+b)(a-b) \ = a^2-b^2 }\bigg\rgroup`

I have also attached the graph of x²-9.

Hence option A is correct .