Hanako7idn
Answered

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Evaluate the following polynomial expression.

1. If x = 5, evaluate 3x² — 5x³ —x (2x² + 4x)
2. If s = 3, evaluate 17 — 3s² + 2s² — 5s³ + 5
3. If d = 2, evaluate 5d² + 2d² — 8d³ — (2d² + 5d)
4. If c = 1, evaluate 11c⁵ — 9c⁶ + 15c⁵ — 13⁶ + 5c⁶
5. If a = 4, evaluate a² — 2a + 5a³ + 1 — 10a​

Sagot :

Nobleprotectionidn

Answer:

  1. -900
  2. -122
  3. -54
  4. -4826787
  5. 289

Step-by-step explanation:

1) If x = 5, evaluate 3x² - 5x³ - x (2x² + 4x)

a) 3x² - 5x³ - x (2x² + 4x)

b) 3 (5) ² - 5 (5) ³ - 5 (2(5) ² + 4(5))

c) 3 (25) - 5 (125) - 5 (2(25) + 4(5))

d) 3 (25) - 5 (125) - 5 (50 + 20)

e) 3 (25) - 5 (125) - 5 (70)

f) 3 (25) - 5 (125) - 5 (70)

g) 75 - 625 - 350

h) -550 - 350

i) -900

2) If s = 3, evaluate 17 - 3s² + 2s² - 5s³ + 5

a) 17 - 3s² + 2s² - 5s³ + 5

b) 17 - 3 (3) ² + 2 (3) ² - 5 (3) ³ + 5

c) 17 - 3 (9) + 2 (9) - 5 (27) + 5

d) 17 - 27 + 18 - 135 + 5

e) -10 + 18 - 135 + 5

f) 8 - 135 + 5

g) -127 + 5

h) -122

3) If d = 2, evaluate 5d² + 2d² - 8d³ - (2d² + 5d)

a) 5d² + 2d² - 8d³ - (2d² + 5d)

b) 5 (2) ² + 2 (2) ² - 8 (2) ³ - (2 (2) ² + 5(2))

c) 5 (2) ² + 2 (2) ² - 8 (2) ³ - (2 (4) + 5(2))

d) 5 (2) ² + 2 (2) ² - 8 (2) ³ - (8 + 10)

e) 5 (2) ² + 2 (2) ² - 8 (2) ³ - 18

f) 5 (4) + 2 (4) - 8 (8) - 18

g) 20 + 8 - 64 - 18

h) 28 - 64 - 18

i) -36 - 18

j) -54

4) If c = 1, evaluate 11c⁵ - 9c⁶ + 15c⁵ - 13⁶ + 5c⁶

a) 11c⁵ - 9c⁶ + 15c⁵ - 13⁶ + 5c⁶

b) 11 (1) ⁵ - 9 (1) ⁶ + 15 (1) ⁵ - 13⁶ + 5(1) ⁶

c) 11 (1) - 9 (1) + 15 (1) - 4826809 + 5(1)

d) 11 - 9 + 15 - 4826809 + 5

e) 2 + 15 - 4826809 + 5

f) 17 - 4826809 + 5

g) -4826792 + 5

h) -4826787

5) If a = 4, evaluate a² - 2a + 5a³ + 1 - 10a

a) a² - 2a + 5a³ + 1 - 10a

b) 4 ² - 2(4) + 5 (4) ³ + 1 - 10 (4)

c) 16 - 2(4) + 5 (64) + 1 - 10 (4)

d) 16 - 8 + 320 + 1 - 40

e) 8 + 320 + 1 - 40

f) 328 + 1 - 40

g) 329 - 40

h) 289

I hope it helps! Thank you! ❤️