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phle aap iska divisor Ka factorize kijiye phir uska zeroes nikal kr
remainder theorem Ka use kijiye agar result zero aaya to divisible hai
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SOLUTION :
let f(x) = x^4 + 2x^3 x 2x^2 + 2x - 3
and g(x) = x^2 + 2x - 3
= x^2 + 3x - x - 3
= (x+3)(x-1)
= (x+3) and ( x-1 ) are factors of g(x)
thus f(-3)=(-3)^4 + 2(-3)^3 -2(-3)^2 +2(-3)(-3) = 81 -54-18 -6 -3 =0
and
f(1) = (1)^4 + 2(1)^3 - 2(1)^2+2×1-3=1+2-2+2=0
since ,
f(x) is divisible by (x+3) and (x-1)
hence ,
f(x) is exactly divisible by g(x)
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