Answer:
The Correct option is B. B.-10x^2-48x-54
Therefore the product of f and g. is
[tex]F(x)\times G(x)=-10x^{2}-48x-54[/tex]
Step-by-step explanation:
Given:
F(x)=2x+6
G(x)=-5x-9
To Find:
The product of f and g.
F(x) × G(x) = ?
Solution:
The product of f and g.
[tex]F(x)\times G(x)=(2x+6)(-5x-9)[/tex]
Applying Distributive Property we get
[tex]F(x)\times G(x)=(2x(-5x-9)+6(-5x-9)\\=-10x^{2}-18x-30x-54\\[/tex]
Combining like terms we get
[tex]F(x)\times G(x)=-10x^{2}-48x-54[/tex]
Therefore the product of f and g. is
[tex]F(x)\times G(x)=-10x^{2}-48x-54[/tex]
