SOLUTION: 1. (x + 5)(2x - 1) 2. 3(x - 4)(x + 3) - 2(4x - 1)(x + 1) 3. Anne Pelletier won a bronze medal for Canada in women's springboard diving at the Summer Olympics in Atlanta.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 1. (x + 5)(2x - 1) 2. 3(x - 4)(x + 3) - 2(4x - 1)(x + 1) 3. Anne Pelletier won a bronze medal for Canada in women's springboard diving at the Summer Olympics in Atlanta.       Log On


   



Question 204642: 1. (x + 5)(2x - 1)
2. 3(x - 4)(x + 3) - 2(4x - 1)(x + 1)
3. Anne Pelletier won a bronze medal for Canada in women's springboard diving at the Summer Olympics in Atlanta. She dove from a springboard with dimensions that can be represented by the binomials 7x - 2 and x - 10.
a) What is the area of the springboard as a polynomial expression?
b) If x represents 70cm, what was the area of the board in square centimeters?

Answer by alicealc(293) About Me  (Show Source):
You can put this solution on YOUR website!
Number 1.
%28x+%2B+5%29%2A%282x+-+1%29+=+2x%5E2+-+x+%2B+10x+-+5+=+2x%5E2+%2B+9x+-+5

Number 2.
3%2A%28x+-+4%29%2A%28x+%2B+3%29+-+2%2A%284x+-+1%29%2A%28x+%2B+1%29
3%2A%28x%5E2+%2B+3x+-+4x+-+12%29+-+2%2A%284x%5E2+%2B+4x+-+x+-+1%29
3%2A%28x%5E2+-+x+-+12%29+-+2%2A%284x%5E2+%2B+3x+-+1%29
3x%5E2+-+3x+-+36+-+8x%5E2+-+6x+%2B+2
-5x%5E2+-+9x+-+34

Number 3a.
area = (7x - 2)*(x - 10)
=7x%5E2+-+70x+-+2x+%2B+20+=+7x%5E2+-+72x+%2B+20

Number 3b.
area = 7%2A70%5E2+-+72%2A70+%2B+20+=+34300+-+5040+%2B+20
= 29280 square centimeters