Help help me with my quiz review sheet.

Divide using long division

1) (4a⁴ - 29a³ - 59a² + 27a + 37) (4a + 7)

2) (9x³ - 41x² - 56x - 25) (9x + 4)

3) (28b⁴ + 24b³ - 60b² + 40b + 74) (4b + 8)

Divide using synthetic division

4) (10x³ + 92x² - 71x + 89) (x + 10)

5) ( p⁴ + 8 p³ + 18 p² + 10 p - 13) ( p + 2)

6) (x⁴ + 4x³ - 41x² + 40x + 30) (x + 9)

Use synthetic division and the remainder theorem to evaluate

7) f (n) = n³ - 9n² + 15n + 13 at n = 3

8) f (a) = a⁵ - 2a⁴ - 11a³ - 22a² + 15a - 30 at a = 5

9) f (m) = m⁵ + 6m⁴ - 6m³ - 38m² - 18m - 34 at m = -6

State the possible rational zeros for each function. Then factor each and find all zeros.

10) f (x)= 2x³ - 5x² + 4x - 111) f (x)= 2x³ - 7x² + 7x - 2

12) f (x)= 5x³ - 11x² + 7x - 113) f (x)= 3x³ + 31x² - 93x + 55

14) f (x)= 3x³ + 2x² - 18x + 415) f (x)= x³ - 7x² - 38x - 24

Provide a polynomial function of least degree with integral coefficients that has the given zeros.

questions 16-19 are on attached file, please solve those as well.

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