(x2-5x+6)
find zeroes of polynomial.
verify the sum and product
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Answers
Answer:
hii,mate here your answer
Step-by-step explanation:
we have
x^2-5x+6
to find its zero we have to do factors of the constant term ...6
factors of 6 =(+-1)(+-2)(+-3)(+-6)now put x=2
- (2)^2-5(2)-6
- 4 - 10 +6
- 10-10 =0
so 2 is the zero of the given polynomial...
hope this is helpful ..
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Answer:
Given:
We have been given a quadratic polynomial x^2-5x+6.
To Find:
We need to find the zeroes of polynomial and verify the sum and product.
Solution:
We can find the zeroes of this polynomial by splitting the middle term.
We need to find two such numbers whose sum is -5 and sum is 6.
Two such numbers are -3 and -2.
Now substituting values, we have
x^2 - 5x + 6
=> x^2 - 2x - 3x + 6
= x(x-2) -3(x-2)
= (x - 2) (x - 3)
Either x - 2 = 0 or x - 3 = 0
when x - 2 = 0
=> x = 2
when x - 3 = 0
=> x = 3
Sum of zeroes = 2 + 3 = 5 = -b/a
Product of zeroes = 2 × -3 = 6 = c/a
Hence verified!