Verified answer

3)a)

x = 2

P(x) = 2x³ + 4x² + 3x - 2

2 × 2³ + 4 × 2² + 3 × 2 - 2

2×8+4×4+6-2

16+16+4

32+4

P(x) = 36

b) x = -3

2 × 3³ + 4 × 3² + 3 × 3 - 2

2×27+4×9+9-2

54+36+7

90+7

P(x) = 97

c) x = 0

2 × 0³ + 4 × 0² + 3 × 0 - 2

2×0+4×0+0-2

0+0+(-2)

P(x) = -2

4)a)

P(x) = x⁴ - 3x³ + x - 5

x = 0

0⁴ - 3 × 0³ + 0 - 5

0-3×0+(-5)

0-0-5

P(x) = -5

b) x = 2

2⁴ - 3 × 2³ + 2 - 5

16-3×8+(-7)

16-24-7

-8-7

P(x) = -15

c) x = -4

(-4)⁴ - 3 × (-4)³ + (-4) - 5

256 - 3 × (-64) - 4 - 5

256 + 192 - ( - 1 )

448 + 1

P(x) = 449

5)a)

P = 2x + x + 2x + x

P = 3x + 3x

P = 6x

b)

P = 3x² + x + 3x² + x

P = 3x² + 3x² + x + x

P = 6x² + 2x