Ques
find
zeros of poly and
verify
the relationship between
Coefficients.
fra = x²-6x-8.
Answers
Answered by
9
S O L U T I O N : (ques.error)
We have quadratic polynomial p(x) = x² - 6x + 8 & zero of the polynomial p(x) = 0
By using factorisation Method :
➦ x² - 6x + 8 = 0
➦ x² - 6x + 8 = 0
➦ x² - 4x - 2x + 8 = 0
➦ x(x - 4) - 2(x - 4) = 0
➦ (x - 4) (x - 2) = 0
➦ x - 4 = 0 Or x - 2 = 0
➦ x = 4 Or x = 2
∴ The α = 4 & β = 2 are the two zeroes of the given polynomial.
As we know that given quadratic polynomial Compared with ax² + bx + c:
- a = 1
- b = -6
- c = 8
Now,
Sum of the zeroes :
➦ α + β = -b/a = [coefficient of x/coefficient of x²]
➦ α + β = -b/a
➦ 4 + 2 = -(-6)/1
➦ 6 = 6/1
➦ 6 = 6
Product of the zeroes :
➦ α × β = c/a = [constant term/coefficient of x²]
➦ 4 × 2 = 8/1
➦ 8 = 8
Thus,
The relationship between zeroes & coefficient are verified.
Answered by
1
Answer:
Yeahh 8 will be ur ans buddy..
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