What is the factored form of the polynomial? x2 − 12x + 27?

Mathematics

2 answers:

suter [353]3 years ago

8 0

Answer:

The factors of the expression in the question x² − 12x + 27 = 0 are (x - 9)(x -3) .

Step-by-step explanation:

As given the expression in the question be as follow .

x² − 12x + 27 = 0

x² - 9x - 3x + 27 = 0

x (x - 9) -3 (x -9) = 0

(x - 9)(x -3) = 0

Therefore the factors of the expression in the question x² − 12x + 27 = 0 are (x - 9)(x -3) .

scoray [572]3 years ago

7 0

The Answer is (x-9) (x-3) Factor 12 and 27 out.

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a student either knows the answer or guesses. Let 3434 be the probability that he knows the answer and 1414 be the probability t

Arlecino [84]

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Step-by-step explanation:

Let A = he known the answer then A' = he guess the answer.

B = he answered it correctly

As per given , we have

$P(A)=\dfrac{3}{4}\ \ ,\ \ P(A')=\dfrac{1}{4}$

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By Bayes theorem , we have

$P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A')P(A')}\\\\ P(A|B)=\dfrac{1\times\dfrac{3}{4}}{1\times\dfrac{3}{4}+\dfrac{1}{4}\times\dfrac{1}{4}}\\\\= \dfrac{12}{13}$