obtain all zeroes of 2x⁴+x³+14x²-19x-6 . if two of its zeroes are -2 and -1
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The zeroes are -2 and -1
hence, solutions will be (x+2) and (x+1)
multiply both
(x+2)(x+1)=x^2+x+2x+2 = x^2+3x+2
Now divide this equation and the original biquadratic eqution
after that you will get a quadratic equation
factorise that equation by middle term split and you will get another zeroes
hence, solutions will be (x+2) and (x+1)
multiply both
(x+2)(x+1)=x^2+x+2x+2 = x^2+3x+2
Now divide this equation and the original biquadratic eqution
after that you will get a quadratic equation
factorise that equation by middle term split and you will get another zeroes
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