Question

The value of m so that x+6 is a factor of x³+5x²-4x+m is: 7 -3 6 12​

Answer 1

Answer:

x-6 is a factor of polynomial x^3 + 5[x^2] -4 x +a

if we apply x=6 in the polynomial ,we can get the value of ‘a’

(6)^3 + 5[(6)^2] - 4(6) + a = 0

>>> 216 + 180 – 24 + a = 0

>>> a = (-372)

Step-by-step explanation:

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The value of m so that x + 6 is a factor of x³ + 5x² - 4x + m is

• 7

• - 3

• 6

• 12

EVALUATION

Here the given polynomial is

x³ + 5x² - 4x + m

Now it is given that x + 6 is a factor of x³ + 5x² - 4x + m

So by the given condition

$\sf {( - 6)}^{3} + 5 \times {( - 6)}^{2} - 4 \times ( - 6) + m = 0$

$\sf \implies - 216 +180 + 24+ m = 0$

$\sf \implies m - 12 = 0$

$\sf \implies m = 12$

FINAL ANSWER

Hence the correct option is 12

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