Question

Factors of r²- 15r + 54 is A) -9,-6 B) 9, 6 C) -27, -2 D) 27, 2​

Answer 1

Answer:

A) -9, -6

Step-by-step explanation:

$r^{2}-15r+54\\r^{2} -6r-9r+54\\r(r-6)-9(r-6)\\(r-6) (r-9)$

Answer 2

Answer:

$r = 6 \: \: \: \: or \: \: \: \: r = 9.$

OPTION B IS CORRECT.

Step-by-step explanation:

${r}^{2} - 15r + 54 = 0 \\ \\ {r}^{2} - 9r - 6r + 54 = 0 \\ \\ r(r - 9) - 6(r - 9) = 0 \\ \\ (r - 9)(r - 6) = 0 \\ \\ therefore \: \: \: r = 6 \: \: \: \: or \: \: \: \: r = 9.$