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Algebra
Question

A rectangle has a length of $$2 x + 5$$ and width of $$x - 2$$ . Which polynomial represents the area of the rectangle?

Area of the rectangle is $$2x^2+ x- 10$$

Expand $$( 2 x + 5 ) ( x - 2 ) : \quad 2 x ^ { 2 } + x - 10$$

$$( 2 x + 5 ) ( x - 2 )$$

Apply FOIL method: $$( a + b ) ( c + d ) = a c + a d + b c + b d$$

$$( 2 x + 5 ) ( x - 2 ) = 2 x x + 2 x ( - 2 ) + 5 x + 5 ( - 2 )$$

$$= 2 x x + 2 x ( - 2 ) + 5 x + 5 ( - 2 )$$

Simplify $$2 x x + 2 x ( - 2 ) + 5 x + 5 ( - 2 ) : 2 x ^ { 2 } + x - 10$$

$$= 2 x ^ { 2 } + x - 10$$

Solution
View full explanation on CameraMath App.