College

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Given: The product is [tex]$9x^7$[/tex] and one factor is [tex]$3x^7$[/tex]. Find the missing factor.

Answer :

To find the missing factor, we need to use the relationship between the product and its factors.

Given:
- The product is [tex]\(9x^7\)[/tex].
- One of the factors is [tex]\(3x^7\)[/tex].

We can express this relationship as follows:

[tex]\[ 9x^7 = (3x^7) \times (\text{missing factor}) \][/tex]

To find the missing factor, we simply need to divide the product by the known factor:

[tex]\[ \text{missing factor} = \frac{9x^7}{3x^7} \][/tex]

When we divide [tex]\(9x^7\)[/tex] by [tex]\(3x^7\)[/tex], we follow these steps:

1. Divide the coefficients: Divide 9 by 3 to get 3.

2. Divide the powers of x: Since both factors have the same power of [tex]\(x^7\)[/tex], subtract the exponents:
[tex]\[
x^{7-7} = x^0 = 1
\][/tex]
(Recall that any number to the power of zero is 1.)

Combining these results, the missing factor simplifies to:

[tex]\[ 3 \times 1 = 3 \][/tex]

Therefore, the missing factor is 3.