Question

FACTORISE = x²-7x+6​

Answer 1

Answer:

Step-by-step explanation:

x^2-7x+6

x^2-x-6x+6

x(x-1)-6(x-1)

(x-1)(x-6)

x=1,6

Answer 2

The factors of x²-7x+6 are (x-6)(x-1).

Given:

x²-7x+6​

To Find:

We are required to factorize the given value.

Solution:

• Factorizing is defined as the breaking down of a particle into a product of its factors.

• We are factoring the quadratic equation by the method of factoring by pairs.

• The given quadratic equation is disturbed into groups or pairs.

The given quadratic equation is x²-7x+6​.

The two number's multiplication must be 6 and addition must be -7 in the quadratic equation is x²-7x+6​.

6 = -6×-1

-7 = -6-1

we can write the given quadratic equation as

x²-6x-x+6

(x²-6x)-(x-6)

x(x-6)-(x-6)

Taking (x-6) as common

(x-6)(x-1)

x²-7x+6​ = (x-6)(x-1)

x = 6,1

Hence factorized.

Therefore, The factors of x²-7x+6 are (x-6)(x-1).

#SPJ5