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
<u>Factorization of 3x² - 30 x + 63</u>
<u>Splitting method</u>
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)