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The diagram represents the factorization of x2 – 9x + 18. It is partially completed.

A 2-column table with 2 rows. First column is labeled x with entries x squared, question mark. Second column is labeled negative 3 with entries question mark, 18. First row is labeled x with entries x squared, question mark. Second row is labeled negative 6 with entries question mark, 18.

Which two terms are missing from the diagram?

–x and –8x
–2x and –7x
–3x and –6x
–4x and –5x

Respuesta :

Answer:

The missing terms are - 3x and - 6x.

Step-by-step explanation:

The table represents the factorization of x2 – 9x + 18. It is partially completed.

So, the unknown term in the first row and second column will be the product of -3 and x i.e. -3x.

And the unknown term in the second row and first column will be the product of -6 and x i.e. -6x.

Therefore, the missing terms are - 3x and - 6x. (Answer)

Eduard22sly

The two terms that are missing in the diagram are –3x and –6x

How to determine the missing term

Method 1

The two missing term can be obtained as follow:

  • Multiply –3 and x together. The result is –3x
  • Multiply –6 and x together. The result is –6x

Thus, the two missing term are –3x and –6x

Method 2

The missing term can be obtained by doing a partial factorisation of the expression. This can be obtained as follow:

x² – 9x + 18

  • Multiply the 1st term (i.e x²) and the last term (i.e 18) together.
  • The result is 18x².
  • Find the two factors of 18x² such that the sum of the factors is equal to –9x
  • The factors are –3x and –6x
  • Substitute –3x and –6x in place of –9x in the equation above. We have

x² – 9x + 18

x² – 3x – 6x + 18

Thus, the missing terms are –3x and –6x

Complete question:

See attached photo

Learn more about factorisation:

https://brainly.com/question/22248251

Ver imagen Eduard22sly

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