Question

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

Answer 1

3(x-3)(x-7)

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.

Answer 2

The correct answer is,

3x² - 30 x + 63 = 3(x - 3)(x - 7)

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)