a Use a generic rectangle where one binomial represents the length of one side and the second binomial represents the length of the second side.
B
b Use a generic rectangle where one binomial represents the length of one side and the second binomial represents the length of the second side.
C
c Use a generic rectangle where one binomial represents the length of one side and the second binomial represents the length of the second side.
D
d Use a generic rectangle where one binomial represents the length of one side and the second binomial represents the length of the second side.
A
a 8x^2-26x-7
B
b 10x^2+31x-14
C
c 4x^2-47x+33
D
d -6x^2+17x-5
Practice makes perfect
a To multiply the binomials we can use a generic rectangle. Let each binomial represent a side of the rectangle.
By multiplying the length and width of the inner rectangles, we can find their individual areas.
If we add the areas of the inner rectangles, we get the outer rectangle's area. This area is also the result of multiplying the binomials.
8x^2+2x-28x-7
⇕
8x^2-26x-7
b Like in Part A, we will use a generic rectangle to multiply the binomials. Let each binomial represent a side of the rectangle.
By multiplying the length and width of the inner rectangles, we can find their individual areas.
If we add the areas of the inner rectangles, we get the outer rectangle's area. This area is also the result of multiplying the binomials.
10x^2+35x-4x-14
⇕
10x^2+31x-14
c Like in Parts A and B, we will use a generic rectangle to multiply the binomials. Let each binomial represent a side of the rectangle.
By multiplying the length and width of the inner rectangles, we can find their individual areas.
If we add the areas of the inner rectangles, we get the outer rectangle's area. This area is also the result of multiplying the binomials.
4x^2-44x-3x+33
⇕
4x^2-47x+33
d Like in previous parts, we will use a generic rectangle to multiply the binomials. Let each binomial represent a side of the rectangle.
By multiplying the length and width of the inner rectangles, we can find their individual areas.
If we add the areas of the inner rectangles, we get the outer rectangle's area. This area is also the result of multiplying the binomials.
-6x^2+15x+2x-5
⇕
-6x^2+17x-5
