Question

Find the value of m, if x+4 is a factor of the polynomial x²
+3x+m.​

Pls answer fast.

Answer 1

Answer:

x + 4 is a factor of the polynomialx2+3x+m

⟹x2+3x+m≡0(modx+4)

⟹x2+4x−x+m≡0(modx+4)

⟹x(x+4)−x+m≡0(modx+4)

⟹−x+m≡0(modx+4)

⟹x−m≡0(modx+4)

⟹m=−4

Answer 2

ANSWER ::

The zero of the polynomial x + 4 is given by

x + 4 = 0

= 0So x = - 4

Let f(x) = x² + 3x + m

Now by the Remainder Theorem the required Remainder is

Now by the Remainder Theorem the required Remainder is f( - 4 ) = (-4)² + 3(-4) + m = 16 - 12 + m = m + 4

By the given condition

m + 4 = 0

m = - 4

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