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Mathematics

1 answer:

Arturiano [62]3 years ago

4 0

Answer:

Sophia has considered the coefficient of x² as 1 in place of 16 and coefficient of x as 10 in place of - 40 in the original trinomial.

Step-by-step explanation:

The given trinomial to be factorized into a perfect square is 16x² - 40x + 25.

And Sophia obtained the perfect square as (x + 5)² which gives the trinomial as x² + 10x + 25.

Therefore, Sophia's work is not correct as 16x² - 40x + 25 ≠ x² + 10x + 25.

Therefore, Sophia has considered the coefficient of x² as 1 in place of 16 and coefficient of x as 10 in place of - 40 in the original trinomial and then factorized the wrong trinomial as (x + 5)². (Answer)

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stiks02 [169]

Answer:

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Step-by-step explanation:

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