Write a polynomial, f(x), with degree 5 that has zeros 1, √2, -√2, √3, -√3.
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Answer:
x = 0,
Step-by-step explanation:
Factorise f(x) and equate to zero for x- intercepts
f(x) = - 5x(9x² - 12x + 4) = 0 ( common factor of - 5x )
To factor the quadratic consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term, that is
product = 9 × 4 = 36 , sum = - 12
The factors are - 6 and - 6
Use these factors to split the middle term
9x² - 6x - 6x + 4 = 0 ( factor the first/second and third/fourth terms )
3x(3x - 2) - 2(3x - 2) ( factor out (3x - 2) )
(3x - 2)(3x - 2), hence
f(x) = - 5x(3x - 2)(3x - 2) = 0
equate each factor to zero and solve for x
- 5x = 0 ⇒ x = 0
(3x - 2)² = 0 ⇒ x = of multiplicity 2, indicating turning point
x - intercepts are x = 0,
Given that equation modelling the height of the building is given by:
<span>h(t)=-4.92t^2+14.69t+575
plotting the equation (see the plot below)
The domain in all real numbers.
</span>Range: (h∈R: 196800h≤115317961)
<span>h(t)=-4.92t^2+14.69t+575
plotting the equation (see the plot below)
The domain in all real numbers.
</span>Range: (h∈R: 196800h≤115317961)
70 degrees, 20 minutes. It's an angle measure in Degrees-Minutes-Seconds(DMS) instead of Decimal Degrees (DDS). DMS is commonly used in engineering, land survey and navigation for ships and planes.
There are 60 seconds in one minute and 60 minutes in one degree.
So 70°20' is =
There are 60 seconds in one minute and 60 minutes in one degree.
So 70°20' is =