Question

If equation of parabola is given by, p(x) = x2 -5x +6, then its factors are
(a) x-3 (b) x-2 (c) Both (a) and (b) (d) None of these


plz say me this answer now my exam is going on​

Answer 1

Answer:

If equation of parabola is given by, p(x) = x2 -5x +6, then its factors are

(a) x-3 (b) x-2 (c) Both (a) and (b) (d) None of these. ans= x-2

Answer 2

For the equation of parabola p(x) = x² - 5x + 6 , the factors are (x - 3) & (x - 2)

Given :

The equation of the parabola p(x) = x² - 5x + 6

To find :

For the equation of parabola p(x) = x² - 5x + 6 , the factors are

(a) x - 3

(b) x - 2

(c) Both (a) and (b)

(d) None of these

Solution :

Step 1 of 2 :

Write down the given equation of the parabola

Here the given equation of the parabola is

p(x) = x² - 5x + 6

Step 2 of 2 :

Find factors of the equation of parabola

p(x) = x² - 5x + 6

⇒ p(x) = x² - (3 + 2)x + 6

⇒ p(x) = x² - 3x - 2x + 6

⇒ p(x) = x(x - 3) - 2(x - 3)

⇒ p(x) = (x - 3)(x - 2)

∴ For the equation of parabola p(x) = x² - 5x + 6 , the factors are (x - 3) & (x - 2)

Hence the correct option is (c) Both (a) and (b)

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