Help me with this please If and are the zeroes of the polynomial x²+3x-2, then find the value of ²³ + ³ ² ? About the author Evelyn
Answer: P(x)=x 2 −3x+2 Put p(x)=0, For finding zeroes of the given polynomial ⟹x 2 −3x+2=0 ⟹x 2 −x−2x+2=0 ⟹x(x−1)−2(x−1)=0 ⟹(x−2),(x−1)=0 ⟹x−2=0 , x−1=0 ⟹x=2 , x=1 ⟹2,1 are zeroes of the equation p(x)=x 2 −3x+2. Reply
Answer:
P(x)=x
2
−3x+2
Put p(x)=0, For finding zeroes of the given polynomial
⟹x
2
−3x+2=0
⟹x
2
−x−2x+2=0
⟹x(x−1)−2(x−1)=0
⟹(x−2),(x−1)=0
⟹x−2=0 , x−1=0
⟹x=2 , x=1
⟹2,1 are zeroes of the equation p(x)=x
2
−3x+2.