Question

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

Answer 1

Given question-:

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

let's try to solve the question

we have to find the value of m

and it is given that x + 4 is a factor of given equation

that is x +4 = 0

x = -4

now put the value of x in given equation

${x}^{2} + 3x + m = 0 \\ { - 4}^{2} + 3 \times 4 + m = 0 \\ 16 + 12 + m = 0 \\ 28 + m = 0 \\ m = - 28$

Hope this will help you...

$\huge{ \underline{thank \: you}}$