Answer:
To find the area of a rectangle you take the length times the width, so you would multiply your two polynomials together
(x+4)(2x-5)
You want to solve this in the formula of FOIL (first, outer, inner, last)
First you would times the first two terms of each expression
x*2x=2x^2 (when multiplying by a variable you always want to add the exponents, and the exponents on x and 2x are both 1 so 1+1=2, which is where we got the 2x^2)
Then you would do your outer tems which are x and -5
x*-5=-5x
Next you would do your inner terms which are 4 and 2x
4*2x=8x
Last you would do your last terms: 4 and -5
4*-5=-20
Now you want to put all your numbers in order
2x^2-5x+8x-20
Next step is to combine all like terms which in our case is just -5x and 8x
-5x+8x=3x
Your final answer would be
2x^2+3x-20
Hope this helps ;)
Step-by-step explanation:
Write a simplified polynomial expression in standard form to represent the area of the rectangle below: has a length of x+4and with of 2x-5
Answer:
2x2 + 3x − 20
(Took the exam)
