Question

find a if the two polynomials ax^3 + 3x^2 - 9 and 2x^3 + 4x +a leaves same remaidr when divided by (x + 3)?

Answer 1

Step-by-step explanation:

put -3 in both equations and equalize them

-27a+27-9=-54-12+a

-27a-a= -54-12-27+9

-28a= -84

28a=84

a=84/28

a=3

Answer 2

QUESTION:

find a if the two polynomials ax³ + 3x² - 9 and 2x³ + 4x +a leaves same remainder  when divided by (x + 3)?

EXPLANATION:-

Let :-

p(x)=ax³ + 3x² - 9

and g(x)=2x³ + 4x +a

Now,

x+3=0

x=-3

Now,

p(-3)=a(-3)³ + 3(-3)² - 9

p(-3)=-27a+27-9

p(-3)=-27a+18-----eq-1

g(-3)=2(-3)³ + 4(-3) +a

g(-3)=-54-12+a

g(-3)=-66+a--  eq-2

Now,

p(-3)=g(-3)

-27a+18=-66+a

28a=84

→a=3

RELATED QUESTIONS:-

• https://brainly.in/question/43577807
• https://brainly.in/question/43604252
• https://brainly.in/question/43604252
• https://brainly.in/question/44790512
• https://brainly.in/question/45139790