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3 years ago

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

Mathematics

1 answer:

daser333 [38]3 years ago

6 0

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.

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3 years ago

For the system of equations below what number do we need to multiply one of the equations by to eliminate one of the variables

mart [117]

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