The polynomials ax^3 + 3x^2-3 and 2x^3 - 5x +a when divided by x-4 leave the remainder p and q. Find the value of a if p +q =0
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☜☆☞hey friend ☜☆☞
Here is your answer ☞
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Let f(x)=ax³+3x²-3
x-4 leaves a remainder p when divided by f(x)
f(4)=p
64a+48-3 = p
64a+45= p ....(1)
Let g(x)=2x³-5x+a
x-4 leaves a remainder q when divided by g(x)
g(4)=q
128-20+a=q
108+a=q ...(2)
It is given that
=> p+q = 0
Equating 1 and 2
=> 64a + 45 + 108 + a = 0
=> 65a + 153
=> a = 153/65 _____answer
hope it will help you
Devil_king ▄︻̷̿┻̿═━一
Here is your answer ☞
→_→→_→→_→→_→→_→
Let f(x)=ax³+3x²-3
x-4 leaves a remainder p when divided by f(x)
f(4)=p
64a+48-3 = p
64a+45= p ....(1)
Let g(x)=2x³-5x+a
x-4 leaves a remainder q when divided by g(x)
g(4)=q
128-20+a=q
108+a=q ...(2)
It is given that
=> p+q = 0
Equating 1 and 2
=> 64a + 45 + 108 + a = 0
=> 65a + 153
=> a = 153/65 _____answer
hope it will help you
Devil_king ▄︻̷̿┻̿═━一
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