If (x+9)=0 is a factor of x 3 72 x 27 6 x=0, then the other factor is:

Let A=x 3 72 x 27 6 x=0⇒ xx2−12−3(2x−14)+7(12−7x)=0⇒ x3−12x−6x+42+84−49x=0⇒ x3−67x+126=0If (x + 9) is a factor of the given equation then⇒(x+9)x2−9x+14=0⇒x2−9x+14=0Thus (x- 7) (x-2) = 0 is the other factor

If (x+9)=0 is a factor of x 3 72 x 27 6 x=0, then the other factor is:

Let A=x 3 72 x 27 6 x=0⇒ xx2−12−3(2x−14)+7(12−7x)=0⇒ x3−12x−6x+42+84−49x=0⇒ x3−67x+126=0If (x + 9) is a factor of the given equation then⇒(x+9)x2−9x+14=0⇒x2−9x+14=0Thus (x- 7) (x-2) = 0 is the other factor

AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

If $(x + 9) = 0$ is a factor of $|\begin{array}{lll} x 3 7 \\ 2 x 2 \\ 7 6 x \end{array}| = 0$ , then the other factor is:

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

$(x + 2) (x + a)$

$\begin{aligned} (x - 2) (x - a) \end{aligned}$

$\begin{aligned} (x - 2) (x - 7) \end{aligned}$

$(x + 9) (x - a)$

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Let $A = |\begin{array}{lll} x 3 7 \\ 2 x 2 \\ 7 6 x \end{array}| = 0$

$\begin{array}{l} \Rightarrow x (x^{2} - 12) - 3 (2 x - 14) + 7 (12 - 7 x) = 0 \\ \Rightarrow x^{3} - 12 x - 6 x + 42 + 84 - 49 x = 0 \\ \Rightarrow x^{3} - 67 x + 126 = 0 \end{array}$