Find all the zeroes of the polynomial x 4 +x 3 +34x 2 -4x+120. if its two zeroes are 2 and -2
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the zeroes are -2 and -1
therefore x+2 and x+1 are divisible by the polynomial x⁴+x³ +34x² - 4x+120
(x+2)(x+1)=x²+(2+1)x+(2 × 1)= x²+3x+2
x⁴+x³ +34x² - 4x+120 ÷ x²+3x+2
now by factorising the quotient we will obtain the other zeroes
therefore x+2 and x+1 are divisible by the polynomial x⁴+x³ +34x² - 4x+120
(x+2)(x+1)=x²+(2+1)x+(2 × 1)= x²+3x+2
x⁴+x³ +34x² - 4x+120 ÷ x²+3x+2
now by factorising the quotient we will obtain the other zeroes
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