What Message Did You Obtain?
What message did you obtain?
The Remainder Theorem and Factor Theorem:
Message Under the Table:
The message is compassion.
Solution:
a. 17 c. -3 e. 5 i. 18 m. 3 p. 6 n. 78 r. 0 o. 2 s. -6 o. 30 t. 23
A. P(x) = x³ + x² + x + 3 B. P(x) = x⁴ – 4x³ – 7x² + 22x + 18
x -2 -1 0 1 2 x -2 -1 0 1 5
P(x) -3 2 3 6 17 P(x) -6 -6 18 31 78
Message c o m p a s s i o n
x = -2 x = -2
P(-2) = -2³ + -2² + (-2) + 3 P(-2) = -24 – 4(-2)³ – 7(-2)² + 22(-2) + 18
= -8 + 4 -2 + 3 = 16 – 4(-8) – 7(4) – 44 + 18
= -10 + 7 = 16 + 32 – 28 -44 + 18
= -3 = 48 – 72 + 18
x = -1 = 66 – 72
P(-1) = -1³ + -1² + (-1) + 3 = -6
= -1 + 1 – 1 + 3 x = -1
= -2 + 4 P(-1) = -1⁴ – 4(-1)³ – 7(-1)² + 22 (-1) + 18
= 2 = 1 -4(-1) -7(1) – 22 + 18
x = 0 = 1 + 4 – 7 – 22 + 18
P(0) = 0³ + 0² + 0 + 3 = 5 + 18 – 29
= 0 + 0 + 0 + 3 = 23 – 29
= 3 = -6
x = 1 x = 0
P(1) = 1³ + 1² + 1 + 3 P(0) = 0⁴ – 4(0)³ – 7(0)² + 22(0) + 18
= 1 + 1 + 1 + 3 = 0 + 0 – 0 + 0 + 18
= 3 + 3 = 18
= 6 x = 1
x = 2 P(1) = 14 – 4(1)3 – 7(1)2 + 22(1) + 18
P(2) = 2³ + 2² + 2 + 3 = 1 – 4(1) – 7(1) + 22 + 18
= 8 + 4 + 2 + 3 = 1 – 4 – 7 + 40
= 12 + 5 = 1 + 40 – 4 – 7
= 17 = 41 – 11
= 30
x = 5
P(5) = 5⁴ – 4(5)³ – 7(5)² + 22 (5) + 18 = 625 – 4(125) – 7 (25) + 110 + 18
= 625 – 500 – 175 + 128
= 625 + 128 + (-500 – 175)
= 753 – 675
= 78
To know more about remainder and factor theorem, go to the following links:
Comments
Post a Comment