The polynomial (ax³+3x²-3) and (2x³-5x+a) when divided by (x-4) leave the same reminder find the value of a.
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p(x) => ax³+3x²-3
q(x)=> 2x³-5x+a
g(x)=> x-4
=> x-4=0
=> x=4
so,
p(4)= ax³+3x²-3
=> a×4³+3×4²-3
=> 64a+48-3
=>64a+45
q(4) = 2x²-5x +a
=> 2×4³-5×4+a
=>2×64-20+a
=> 128-20+a
=> 108+a
Then => 64a+45=108+a
=> 64a-a=108-45
=> 63a=63
=>a=63/63
=> a=1
I hope it's help you
p(x) => ax³+3x²-3
q(x)=> 2x³-5x+a
g(x)=> x-4
=> x-4=0
=> x=4
so,
p(4)= ax³+3x²-3
=> a×4³+3×4²-3
=> 64a+48-3
=>64a+45
q(4) = 2x²-5x +a
=> 2×4³-5×4+a
=>2×64-20+a
=> 128-20+a
=> 108+a
Then => 64a+45=108+a
=> 64a-a=108-45
=> 63a=63
=>a=63/63
=> a=1
I hope it's help you
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