Factor Completely. 3x^2-30x+63

3 (x-3) (x-7)

Step-by-step explanation:

We have given a expression.

3x²-30x+63

We have to calculate the factor of given expression.

taking 3 common from given expression, we have

3 (x²-10x+21)

Splitting the middle term of given expression, we have

3 (x²-3x-7x+21)

Making groups, we have

3 (x (x-3) - 7 (x-3))

Taking (x-3) as common, we have

3 (x-3) (x-7) which is the answer.

The correct answer is,

3x² - 30 x + 63 = 3 (x - 3) (x - 7)

Step-by-step explanation:

The given polynomial is 3x² - 30 x + 63

Factorization of 3x² - 30 x + 63

Splitting method

3x² - 30 x + 63 = 3 (x² - 10 x + 21) (taking 3 as common)

= 3 (x² - 3 x - 7x + 21) (middle term splitting)

= 3[x (x - 3) - 7 (x - 3) ] (taking x and - 7 as common)

= 3[ (x - 3) (x - 7) ]

Therefore 3x² - 30 x + 63 = 3 (x - 3) (x - 7)

The correct answer is 3 (x - 3) (x - 7)