Verify if 1/2 and -3/2 are zeros of polynomial 8x3-4x2-18x+9.if yes then factorise polynomial
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Answer:
8x3-4x2-18x+9
if 1/2 and -3/2 are zeros of polynomial 8x3-4x2-18x+9 then satisfy the equation
8(1/2)^3-4(1/2)^2-18(1/2)+9
8*(1/8)-4*(1/4)-9+9
1-1+0
0
hence 1/2 is a root of equation 8x3-4x2-18x+9
similarly if -3/2 are zeroof polynomial 8x3-4x2-18x+9 then satisfy the equation
8(-3/2)^3-4(-3/2)^2-18(-3/2)+9
8*(-27/8)-4*(9/4)-18(-3/2)+9
-27-9+27+9
0
hence -3/2 is also a root of equation 8x3-4x2-18x+9.
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