Question

Find the other zeroes of the polynomial p(x) = 2^4 + 7^3 − 19^2 − 14 + 30, if two of its zeroes are 3/2 and − 5

Answer 1

Answer:

Two of its zeroes are

2

&−

2

so,g(x)=(x−

2

)(x+

2

)⇒x

2

−2

divisor=x

2

−2

Quotient=2x

2

+7x−15

Remainder=0

q(x)=−2x

2

+7x−15

2x

2

+10x−3x−15=0

2x(x+5)−3(x+5)=0

(2x−3)(x+5)=0

2x−3=0

2x=3

x=

2

3

x+5=0

x=−5

so,rootsofequationis

2

,−

2

,

2

3

&−5