Question

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Answer 1

f(x) = ax³ + 3x² -13 , p(x) = 5x³ -8x + a

r(x) = (x+1)

x+1 = 0 → x = -1

f(-1) = a(-1)³ + 3(-1)² -13

f(-1) = - a + 3 -13

f(-1) = -a -10 [equation 1]

p(x) = 5x³ -8x + a

p(-1) = 5(-1)³ - 8(-1) + a

p(-1) = -5 + 8 + a = 3 + a [equation 2]

Given that, -a-10=3+a → 2a=-13 → a=-13/2

Answer 2

Answer:

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