itsyaboiamo itsyaboiamo
  • 22-02-2019
  • Mathematics
contestada

Is 16x^2-56x+49 a perfect square trinomial? How do you know ? If it is, factor the expression. Please show your work

Is 16x256x49 a perfect square trinomial How do you know If it is factor the expression Please show your work class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 24-02-2019

Answer:

  • yes
  • (4x -7)^2

Step-by-step explanation:

If it is, the first and last terms are perfect squares, and the middle term is twice the product of the roots of those squares.

  16x^ = (4x)^2 . . . . a perfect square

  49 = 7^2 . . . . . . . a perfect square

  -2(4x)(7) = -56x . . . . . matches the middle term, so the factoring is ...

  16x^2 -56x +49 = (4x -7)^2

_____

The sign in the binomial factors is the same as the sign of the middle term of the trinomial.

Answer Link

Otras preguntas

what time is two and a half hours before 1:00 a.m.
what are south asia's three largest rivers and what are their source?
-6x+9=33 ???? What is the value of x ?
In 1833, South Carolina threatened to secede from the Union if _____. a Congress continued to raise protective tariffs b the federal government used force again
good thesis statement on rumors any suggestions pls thank you
why do babies with tetralogy of fallot have a faster breathing rate than normal babies
What could be A equals 1/4 of 24
Ratio of ducks to geese is 14 to 42. In winter there are 7 times fewer geese, but the number of ducks do not change. What is the ratio of ducks to geese in the
How much did a zipper cost in the 1800's
According to the central dogma, what is the relationship among DNA, RNA, and proteins?