Question

For factorization of the polynomials n²-5n+6​

Answer 1

EXPLANATION.

Factorization of the polynomial.

⇒ n² - 5n + 6.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ n² - 3n - 2n + 6 = 0.

⇒ n(n - 3) - 2(n - 3) = 0.

⇒ (n - 2)(n - 3) = 0.

⇒ n = 2  and  n = 3.

                                                                                                                       

MORE INFORMATION.

Nature of the roots of the quadratic expression.

(1) = Real and unequal, if b² - 4ac > 0.

(2) = Rational and different, if b² - 4ac is a perfect square.

(3) = Real and equal, if b² - 4ac = 0.

(4) = If D < 0 Roots are imaginary and unequal Or complex conjugate.

Answer 2

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Factorization of the polynomial.

⇒ n² - 5n + 6.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ n² - 3n - 2n + 6 = 0.

⇒ n(n - 3) - 2(n - 3) = 0.

⇒ (n - 2)(n - 3) = 0.

⇒ n = 2  and  n = 3.