What is the factorization of the trinomial below 3x^3-24x^2+45x

2 answers:

7 0

1st factor is 3x:
= 3x(x² - 8x + 15) 

2nd & 3rd factors: 
x² - 8x + 15 = 0 
x² - 4x = - 15 + (- 4)² 
x² - 4x = - 15 + 16 
(x - 4)² = 1 
x - 4 = 1 

= x - 4 - 1, = x - 5 
= x - 4 + 1, = x - 3 

Answer: 3x(x - 5)(x - 3) are the factors. 

Proof: 
= 3x(x - 5)(x - 3) 
= 3x(x² - 5x - 3x + 15) 
= 3x(x² - 8x + 15) 
= 3x³ - 24x² + 45x

kondaur [170]3 years ago

7 0

Answer: 3x(x-3)(x-5)

Step-by-step explanation:

The negative has to be consistance because of the earlier factoring

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Brainliest for best answer

sleet_krkn [62]

Answer:

No Solution

Step-by-step explanation:

Let us see the various conditions to check the number of solutions for a pair of linear equations.

Let our linear equations are

ax+by=c

px+qy=r

i) for Unique Solution

$\frac{a}{p}$ ≠ $\frac{b}{q}$ = $\frac{c}{r}$

$\frac{a}{p}$ ≠ $\frac{b}{q}$ ≠ $\frac{c}{r}$

ii) For No Solution

$\frac{a}{p}$ = $\frac{b}{q}$ ≠ $\frac{c}{r}$

iii) For many Solutions

$\frac{a}{p}$ ≠ $\frac{b}{q}$ = $\frac{c}{r}$

Let us see what ratio we have for our linear equation s

here

a=1 , b=-2 , c= 4

p=-3 , q = 6 , r = 12

$\frac{a}{p}$ = $\frac{1}{-3}$ = - $\frac{1}{3}$

$\frac{b}{q}$ = $\frac{-2}{6}$ = - $\frac{1}{3}$

$\frac{c}{r}$ = $\frac{4}{12}$ = $\frac{1}{3}$

- $\frac{1}{3}$ = - $\frac{1}{3}$ ≠ $\frac{1}{3}$

Hence it satisfies the second condition of No solution

4 0

3 years ago

a click beetle abruptly releases elastic energy stored in its body to launch itself into the air. the function h(t)=-16t^2+12t r

Vikentia [17]

Answer:

The first click beetle reaches a maximum height of 2.25 feet. From the graph, you can see that the second click beetle reaches a maxium height of between 1.5 and 1.6 feet. So, the first click beetle went higher.