Question

Use remainder theorem to find remainder when p(x) is divided by q(x) in following questions: 1)p(x)=x^9-5x^4+1, q(x)=x+1 2)p(x)=4x^3-12x^2+11x-5, q(x)=X-1/2 3)P(X)=x^3-6x^2-2x-4, q(x)=1-3x Please some one ans this question@very importanmt! The first who will answer this question will be marked as brainliest

Answer 1

Answer:

Hope this helps

Step-by-step explanation:

1) x+1 = 0

x= -1

p(x)= x^9 -5x^4 +1

p(-1)= (-1)^9 - 5(-1)^4 +1

= -1-5 +1

= -5

2) x -1/2 = 0

x = 1/2

p(x)= 4x^3 -12x^2 + 11x -5

p(1/2)= 4(1/2)^3 - 12(1/2)^2 +11(1/2) +5

= 1/2 - 3/1 + 11/2 - 5/1

LCM of 2,1,2,1 is 2

1/2 - 3/1 ×2/2 + 11/2 - 5/1 + 2/2

1/2 - 6/2 + 11/2 - 10/2

= -2

3) 1 -3x = 0

3x = -1

x = -1/3

p(x)= x^3 - 6x^2 -2x -4

p(-1/3)= (1/3)^3 - 6(1/3)^2 - 2(1/3) -4

= (-1/27) - 6(1/9) + (2/3) -4/1

= -1/27 - 2/3 + 2/3 -4/1

= -1/27 -4/1

LCM of 27 and 1 is 27

= -1/27 - 4/1 × 27/ 27

= -1/27 - 108/27

= 109/37

Answer 2

Answer:

1. -5

2. -2

3. 109/37

Step-by-step explanation:

hope this helps uhh