msfresh2489 msfresh2489
  • 18-08-2021
  • Mathematics
contestada

Factor the following

9t^2-42t+49

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 24-08-2021

Answer:

  (3t -7)²

Step-by-step explanation:

We know that the square of a binomial is ...

  (a -b)² = a² -2ab +b²

So, when we see the first and last terms are both perfect squares, we suspect that the trinomial is a perfect square trinomial.

  9t² = (3t)²

  49 = 7²

  -42t = -2(3t)(7) . . . . confirming we have a perfect square

The factorization is ...

  (3t -7)²

Answer Link

Otras preguntas

A basketball team has 9 players. In how many different ways can the coach coach select 2 players to be the captain for tonight's game
Solve x divided by six equals eight
In the year 2000 Detroit, Michigan had a population of 1,144,646. What is this population rounded to the nearest hundred thousand?
please rewrite each fraction in at least two different ways a)11/2 b)3/8 c)10/7
what is 3000 divided by 200 to the 6 power
what's is the number of 15,409
The Appalachian Trail consists of 2,168 miles of breathtakingly beautiful country. It extends from the top of Mt. Katahdin in Maine to the top of Springer Moun
Which American Indian groups formed an alliance with the French as the French and Indian war began
Abigail wants to get better at baseball. In order to do this, she has created a list of skills she will need to improve. Which skill should get the most of her
why did English immigration to the colonies slow after 1660