Answer:
Option B: 3x(x - 3)(x - 5)
Step-by-step explanation:
The given polynomial is: 3x³ - 24x² + 45x
To factorize it: 3x³ - 24x² + 45x
Since, 3x is common through out we can take it out.
⇒ 3x(x² - 8x + 15)
Now we have to factorize (x² - 8x + 15)
The roots of this quadratic equation is: 5, 3.
Therefore, x² - 8x + 15 = (x - 3)(x - 5)
Combining them, the factors of the polynomial would be:
(B) 3x(x - 3)(x - 5)
Answer:(k+1)(2K+7)
Step-by-step explanation:
Using the quadratic formula
X=-b±-√b^2-4ac/2a
ax^2+bx+c=0
2k^2+9k+7=0
In this case a=2,b=9,c=7
-9+-√9^2-4(2)(7)/2(2)
(-9+√25)/4=-9+5/4=-1
(-9-√25)/4=-14/4 =-7/2
X=-1,X=-7/2
So (K+1)(k+7/2)
So (k+1)(2k+7)
The function has a horizontal asymptote at y = 3.
The function has a vertical asymptote at x = -3.
The function has a vertical intercept of 1.
The function has a zero of x = -2.
Because the function has a zero at x = -2, and a vertical asymptote at x = -3, therefore
Write the function in the form
y =
As x → ∞, y → k.
Because a horizontal asymptote exists at y = 3, therefore k = 3.
A vertical intercept exists at y = 1.
The function is
Answer:
Answer:
Step-by-step explanation:
(x²+4)²-11(x²+4)+24=0
put x²+4=y
y²-11y+24=0
y²-3y-8y+24=0
y(y-3)-8(y-3)=0
(y-3)(y-8)=0
y=3,8
so x²+4=3
x²=-1=i²
x=±i
or x²+4=8
x²=4
x=±2
Answer:
x=10
Step-by-step explanation:
Let's solve your equation step-by-step.
40−x=3x
Step 1: Simplify both sides of the equation.
40−x=3x
40+−x=3x
−x+40=3x
Step 2: Subtract 3x from both sides.
−x+40−3x=3x−3x
−4x+40=0
Step 3: Subtract 40 from both sides.
−4x+40−40=0−40
−4x=−40
Step 4: Divide both sides by -4.
−4x
−4
=
−40
−4
x=10