Factoring General Trinomial in the Form of x^2 + Bx + C
Factor each expression completely as possible. If the expression is not factorable write prime.
= y^2 - 4y + 3
= x^2 - 7x + 12
= m^2 - 14m + 13
= x^2 - 7x - 18
= y^2 - 2y - 3
= x^2 + 29x - 30
B. Problem Solving.
The area of the rectangular lot is represented by x^2 - 9x - 10.
A. Write the expression that represents the dimensions of the rectangular lot.
B. If x = 35 meters, find the length and width of the rectangular lot.
Factor each expression completely as possible. If the expression is not factorable write prime.
= y^2 - 4y + 3
= x^2 - 7x + 12
= m^2 - 14m + 13
= x^2 - 7x - 18
= y^2 - 2y - 3
= x^2 + 29x - 30
B. Problem Solving.
The area of the rectangular lot is represented by x^2 - 9x - 10.
A. Write the expression that represents the dimensions of the rectangular lot.
B. If x = 35 meters, find the length and width of the rectangular lot.
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Answer:
y²-4y+3, factor (y-3)(y-1)
x²-7x+12, factor (x-4)(x-3)
m²-14m+13, (m-13)(m-1)
x²-7x-18, (x-9)(x+2)
y²-2y-3, (y-3)(y+1)
x²+29x-30, (x+30)(x-1)
B.
A. Length=(x+10) width= (x-1)
B. @ x=35
Length= (45+10)=55 meters
Width= (45-1)= 44 meters