Find the zeroes of the quadratic polynomial a d verify the relationship between the zeroes and the coefficients
Answers
Answered by
1
Answer:
4 zeros are there in the quadratic polynomial
Answered by
0
Answer:
3,-4
Step-by-step explanation:
Let p(x) -------> x² + x - 12
= x² + 4x - 3x - 12
= x(x+4) - 3(x+4)
= (x-3)(x+4)
Now, for zeroes of polynomial,
x-3 = 0, x+4 = 0
=> x = 3, x = -4
Now, let α = 3 and β = -4 and in p(x); a= 1, b= 1 and c= -12
Case 1 : α + β = 3 + (-4)
= -1 --- [1]
-b/a = -1/1
= -1 --- [2]
From [1] and [2], we get,
α + β = -b/a
Case 2 : α×β = 3×(-4)
= -12 --- [3]
c/a = -12/1
= -12 --- [4]
From [3] and [4], we get,
α×β = c/a
Hence, verified the realtionship between the zeroes and coefficients of p(x).
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