find the other two zeros of the polynomial x 4 + x cube minus 34 x square - 4 x + 120 if the two of its zeros are 2 and minus 2
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Answered by
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Solution=>
given two zeroes=2 and -2
=>(x-2)(x+2)
=> x²-4
Therefore, x²-4 is a factor of polynomial.
now divide polynomial by x⁴+x³-34x²-4x+120
by dividing u get quotient x²+x-30
now solve x²+x-30 by prime factorisation method.
=>x²+x-30
=>x²+6x-5x-30
=>x(x+6)-5(x+6)
=>(x-5)(x+6)=0
=>x= 5 and -6
Therefore, other two zeroes are 2,-2,5,-6
PLS MARK IT AS BRAINLIEST!!!!
given two zeroes=2 and -2
=>(x-2)(x+2)
=> x²-4
Therefore, x²-4 is a factor of polynomial.
now divide polynomial by x⁴+x³-34x²-4x+120
by dividing u get quotient x²+x-30
now solve x²+x-30 by prime factorisation method.
=>x²+x-30
=>x²+6x-5x-30
=>x(x+6)-5(x+6)
=>(x-5)(x+6)=0
=>x= 5 and -6
Therefore, other two zeroes are 2,-2,5,-6
PLS MARK IT AS BRAINLIEST!!!!
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4
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