Question

Factorize x²-5x+6 multiply first 1st term and last term. please answer me this​

Answer 1

Step-by-step explanation:

Step 1: Multiply the coefficient of the first term by the constant term i.e (6 x 1) = 6

Step 2: Find the two factors of 6 such that whose sum equals to the coefficient of the middle term, i.e -5.

Thus, the factors are -3 and -2 as,

-3 × (-2) = 6 (Product)

-3 + (-2) = -5 (Sum)

The polynomial after splitting the middle term by using the two factors, -3 and -2 can be written as

x² - 3x - 2x + 6 = 0

⇒ x(x-3) -2(x-3) = 0

⇒ (x-3)(x-2) = 0

Thus, the Factors of x² - 5x + 6 are (x-3) (x-2).

I hope this helped u

Answer 2

$= {x}^{2} - 5x + 6 \\ \\ = {x}^{2} - (3 + 2)x + 6 \\ \\ = {x}^{2} - 3x - 2x + 6 \\ \\ = x(x - 3) - 2(x - 3) \\ \\ = (x - 2)(x - 3)$

$x - 2 = 0 \\ \\ x = 2$

$x - 3 = 0 \\ \\ x = 3$