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

You might be interested in

denis23 [38]

Answer:

C. 5units

Step-by-step explanation:

7 0

3 years ago

if I want a PlayStation for $300.00 and I get paid $10.50 a week how long would it take me to buy the PlayStation

konstantin123 [22]

Answer:

29 weeks or 4 months (not exactly)

Step-by-step explanation:

300/10.5 is 28.57

which 29 weeks, you earn 4 dollars and 50 cents left over

8 0

3 years ago

A gumball machine has different flavors sour apple,grape,orange and cherry . There are six of each flavor. $.50 are put in the m

tamaranim1 [39]

Answer:

30/552

Step-by-step explanation:

In order to solve this problem you need to multiply the probability of getting grape for the first gumball with the probability of getting grape for the second gumball. Since there are 6 grape gumballs and a total of 24 gumballs (6*4). Then the probability of getting grape for the firs one is

$\frac{6}{24}$