The graph of a polynomial y=4-x^2 Is given alongside. What are the zeros of the polynomial
Answers
Answered by
4
Answer:
+2 and -2
Step-by-step explanation:
Given a quadratic polynomial such that,
y = 4 - x^2
To find the zeroes of the polynomial.
We need to convert it into an equation.
For this, equate rhe Polynomial to zero.
Therefore, we will get,
=> y = 0
=> 4 - x^2 = 0
So, it's the required quadratic equation.
Now, finding the zeroes, we get,
=> 4 - x^2 = 0
=> 2^2 - x^2 = 0
But, we know that,
- a^2 - b^2 = (a+b)(a-b)
Therefore, we will get,
=> (2+x)(2-x) = 0
Now, we have two cases.
CASE I
=> 2 + x = 0
=> x = -2
CASE II
=> 2 - x = 0
=> x = 2
Hence, the zeroes are +2 and -2.
Answered by
0
Answer:
Hope it's helpful..
please mark as brainliest answer..
Attachments:
Similar questions