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

predatory and parasitic relationships both involve two different species. What is similar about both a predatory and parasitic relationship?
the quadrilaterals JkLM and PQRS are similar.find the length x of QR.
find the particular equation of quadratic function containing (-2,-11) (4,13) and (6,29)
f(x)=(x^4-x^3-8x+8)/(x^3-2x^2-x+8) simplifier f(x)
What is the value of x if x + 4y = 7 and x - 4y = 8?
Biogeography shows that all camels a. came from ancestors that lived in North Africa. b. came from ancestors that lived in North America. c. came from ancestors
how did most Americans feel about roosevelts destroyers for bases deal?
What are the answers to all these questions?
how did most Americans feel about roosevelts destroyers for bases deal?
how many bits must be flipped (i.e. changed from 0 to 1 or from 1 to 0) in order to capitalize a lowercase 'a' that’s represented in ascii?