1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zimovet [89]
2 years ago
14

5. Given (x + 1) and (x-3) are factors of P(x) = x4-5x³-7x² + cx + d. Determine the values

Mathematics
1 answer:
Iteru [2.4K]2 years ago
4 0

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

#SPJ1

You might be interested in
Arrange the following<br> numbers in order from least<br> to greatest.<br> 96,432; 94,632; 96,342
Luba_88 [7]

Answer:

94,96,96,342,432,632

Step-by-step explanation:

Least to greatest

6 0
3 years ago
Cindy works two jobs to make ends meet. Both jobs pay her an hourly wage. At the first job, Cindy earns $6.50 per hour. At the s
notsponge [240]
The answer is B

6.5x + 1025y= 372
x= 2y
3 0
3 years ago
For the order of operations, Group of answer choices Multiplication, division and remainder is performed first Addition and subt
Furkat [3]

Answer: Addition and subtraction is performed after multiplication, division and remainder

Step-by-step explanation:

The correct order of operations is to calculate whatever is in the parenthesis first.

Then calculate multiplication and division depending on which comes first as you move from left to right.

Then addition and subtraction can be performed also depending on which comes first as you move left to right.

8 0
2 years ago
Wooden blocks are stacked to form a cube 3 blocks wide,3 blocks long, and 3 blocks high.How many blocks are used?
liraira [26]
27; The first stack is 3 x 3 (= 9). You then multiply 9 by 3 (for each of the 3 stacks). Basically, 3 x 3 x 3.
6 0
3 years ago
Read 2 more answers
3/6x4/9 plz help meeeeee
Aleonysh [2.5K]

Answer:

12/54

Step-by-step explanation:

4x3=12

6x9=54

3 0
3 years ago
Read 2 more answers
Other questions:
  • When do you need to use two number lines to compare two fractions?
    14·1 answer
  • System of equations pls help!!
    14·1 answer
  • Find the 50th term of the sequence 5,-2,-9,-16
    12·1 answer
  • What is the diameter of a circle with a circumference of 18.84956?
    12·1 answer
  • Find the absolute maximum and minimum values of the following function in the closed region bounded by the triangle with vertice
    6·1 answer
  • Answers please.......​
    11·2 answers
  • What is the range in mathss
    8·2 answers
  • How do you simplify square roots.​
    10·1 answer
  • Define least common multiple
    6·2 answers
  • Reflect the trapezoid in the x-axis. Then translate the trapezoid 2 units left and 3 units up. The coordinates of the final imag
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!