If the area of rectangle is give by the expression x^2-23x+60 then what are its sides
Answers
Answer:
The first term is, x2 its coefficient is 1 .
The middle term is, -23x its coefficient is -23 .
The last term, "the constant", is +60
Step-1 : Multiply the coefficient of the first term by the constant 1 • 60 = 60
Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -23 .
-60 + -1 = -61
-30 + -2 = -32
-20 + -3 = -23 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -20 and -3
x2 - 20x - 3x - 60
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-20)
Add up the last 2 terms, pulling out common factors :
3 • (x-20)
Step-5 : Add up the four terms of step 4 :
(x-3) • (x-20)
Which is the desired factorization
Equation at the end of step
1
:
(x - 3) • (x - 20) = 0