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Maksim231197 [3]
3 years ago
14

What is the factorization of the trinomial below? x3 - 12x2 + 35x

Mathematics
1 answer:
rjkz [21]3 years ago
4 0

Answer:

x(x - 5)(x - 7)

Step-by-step explanation:

Given

x³ - 12x² + 35x ← factor out common factor of x from each term

= x(x² - 12x + 35)

To factor the quadratic

Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)

The factors are - 5 and - 7, since

- 5 × - 7 = 35 and - 5 - 7 = - 12, thus

x² - 12x + 35 = (x - 5)(x - 7) and

x³ - 12x² + 35x = x(x - 5)(x - 7) ← in factored form

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LekaFEV [45]


= > x + \frac{1}{3} = 9



\text{Add} \: - \frac{1}{3} \: \text{ on both sides ,}



= > x + \frac{1}{3} - \frac{1}{3} = 9 - \frac{1}{3} \\ \\ \\ \\ = > x = \frac{(9 \times 3) - 1}{3} \\ \\ \\ \\ = > x = \frac{27 - 1}{3} \\ \\ \\ \boxed{ \bold{= > x = \frac{26}{3} }} \\ \\ \\ or , \boxed{ \bold{ \: x = 8. \bar{6}}}




Hence,


Value \: \: \: of \: \: x \: \: is \:  \frac{26}{3} \: \: \: or \: \: \: 8. \bar{6}
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