The zeroes of the
Polynomial x²+x-2are.
Answers
Answered by
16
Answer:
-2 and 1
Step-by-step explanation:
Given quadratic polynomial ;
- x² + x - 2
We can find zeroes by splitting the middle term. To split middle term, we need two numbers such that their sum is 1, and product is 2.
Such two numbers can be (-2, 1)
Here we go ;
⇒ x² + x - 2 = 0
⇒ x² + 2x - x - 2 = 0
⇒ x (x + 2) - 1 ( x + 2 ) = 0
⇒ (x + 2)(x - 1) = 0
⇒ x = - 2 or x = 1
Hence, the zeroes of the quadratic polynomial is - 2 and 1.
Answered by
0
Step-by-step explanation:
given polynomial
x²+x-2
= x²+2x-x-2
= x(x+2) -1( x+2)
= (x+2) ( x-1)
for finding zeros of the polynomial it must be zero
then
(x+2) ( x-1)== 0
so. x= 1 or. x= -2
therefore zeros are 1 and -2
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