By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.
<h3>How to determine the missing coefficients of a quartic equation</h3>
A value x is a root of a polynomial if and only if p(x) = 0. We must replace the given equation with the given roots and solve the resulting system of <em>linear</em> equations:
(- 1)⁴ - 5 · (- 1)³ - 7 · (- 1)² + (- 1) · c + d = 0
- c + d = 1 (1)
3⁴ - 5 · 3³ - 7 · 3² + 3 · c + d = 0
3 · c + d = 117 (2)
The solution of this system is c = 29 and d = 30.
By concepts of polynomials and systems of linear equations, the constants c and d of the expression p(x) = x⁴ - 5 · x³ - 7 · x² + c · x + d are 29 and 30.
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Step-by-step explanation:
Miles travelled in 1h=66600
Miles travelled in 1 sec=66600/3600
=18.5miles
Miles travelled in 15 seconds =18.5×15
=<em><u>277.5miles</u></em>
Answer:
6.4
Step-by-step explanation:
Well the radius of the whole pizza is 8
So the total area is 64π
And 64 / 10 = 6.4
Answer is 3-110x
3 times 1 squared - 11 times 10
1 raised to any power equals 1
calculate the product
3 times 1 -110x
any expression multiplied by one stays the same
3-110x
i hope this helped! thanks!
Find the amount of tax money she needed to pay
7% of 17.50
=7/100 * 17.50
=122.50/100
=1.22
Find the final sales price
17.50+1.22 = 18.72