Question

Find the value of the polynomial ∶ 9x²− 3x + 9 (at x = 1)

Answer 1

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Answer 2

Step-by-step explanation:

SOLUTION :

Given : 9x² - 3x - 2 = 0

9x² - 3x - 2 = 0

9x² - 6x + 3x -2 = 0

3x (3x - 2) + 1(3x - 2) = 0

(3x - 2)(3x + 1) = 0

3x - 2 or 3x + 1 = 0

3x = 2 or 3x = - 1

x = ⅔ or x = -1/3

Hence, the roots of the quadratic equation 9x² - 3x - 2 = 0 are ⅔ and -⅓ .

★★ METHOD TO FIND SOLUTION OF a quadratic equation by FACTORIZATION METHOD :

We first write the given quadratic polynomial as product of two linear factors by splitting the middle term and then equate each factor to zero to get desired roots of given quadratic equation.

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