Question

Классифицировать(разделить) трёхчлен х²+9х+14 на многожители​

Answer 1

Ответ:

Д = 9² - 4 • 1 • 14 = 81 - 56 = 25

х = -9 + √25 / 2 = -2

х = -9 - √25 / 2 = -7

х² + 9х + 14 = (х + 2)(х + 7)

Answer 2

х²+9х+14=

х²+2•4,5•х+(4,5)²-6,25=

(х+4,5)²-6,25

Ответ: х²+9х+14=(х+4,5)²-6,25.

Объяснение:

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Answer 3

Factoring a Quadratic Trinomial

To factor the quadratic trinomial x² + 9x + 14, we need to find two binomials whose product equals the given trinomial. The binomials will have the form (x + a)(x + b), where a and b are constants.

To find the values of a and b, we need to consider the factors of the constant term (14) and find the pair that adds up to the coefficient of the linear term (9).

The factors of 14 are 1, 2, 7, and 14. We need to find a pair of factors that adds up to 9. After examining the factors, we find that 2 and 7 satisfy this condition.

Therefore, we can factor the quadratic trinomial x² + 9x + 14 as (x + 2)(x + 7).

Answer

The quadratic trinomial x² + 9x + 14 can