Question

if polynomial of p x cube + 4 x square + 3 x minus 4 and x cube minus 4 x + p are divided by x minus 3 then remainder in each case is same find p

Answer 1

Hey dear here is your answer....

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Answer 2

Answer:

Value of p is -1.

Step-by-step explanation:

let p(x) = px³ + 4x² + 3x - 4

g(x) = x³ - 4x + p

h(x) = x - 3

To find value of p

According to remainder theorem which states that if p(x) is divisible by a linear polynomial of form x - a then remainder = p(a)

p(x) ÷ h(x)

⇒ remiander = p(3) = p × 3³ + 4 × 3² + 3 × 3 - 4 = 27p + 41

when g(x) ÷ h(x)

⇒ remiander = g(3) = 3³ - 4 × 3 + p = 15 + p

remainder is same

p(3) = g(3)

27p + 41 = 15 + p

26p = -26

p = -1

Therefore, Value of p is -1.