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.
To learn more on polynomials: brainly.com/question/11536910
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500 songs in his music player: + 500
every week he adds 10 songs: 10n (n is how many weeks)
equation: s = 10n + 500 (s is the total amount of songs)
after 20 weeks? : plug it in
s = (10 x 20) + 500
s = 200 + 500
s = 700
he will have 700 songs in his music player after 20 weeks
The statement
would best describe the line segments drawn would be they are parallel
and congruent. The correct answer between all the choices given
is the second choice or letter B. I am hoping that this answer has satisfied
your query about and it will be able to help you.
Answer:
a,c,b
aStep-by-step explanation:
1) a. Socratics, chegg, khan academy
1) b. They all learning apps that help you understand problems if any subject. It also has online tutors to help you.
2. To insert a square root, just type \sqrt and then the Enter or Tab key to insert the square root symbol.
