Answered

4. What is the value of k if x + 2 is a factor of 2x2 +
3x + k?​

Sagot :

Jamelbenibrahimviz

Answer:

[tex]k = 2[/tex]

Step-by-step explanation:

Equate x + 2 to zero and solve for x,

[tex]x + 2 = 0 \\ x = - 2[/tex]

Then substitute to

[tex] {x}^{2} + 3x + k = 0[/tex]

[tex] {( - 2)}^{2} + 3( - 2) + k = 0 \\ 4 - 6 + k = 0 \\ k = 2[/tex]