Question

Part 1:
Solve each of the quadratic equations below and describe what the solution(s) represent to the graph of each. Show your work to receive full credit.
y = x2 + 3x + 2
y = x2 + 2x + 1
Part 2:
Using complete sentences, answer the following questions about the two quadratic equations above.
Do the two quadratic equations have anything in common? If so, what?
What makes y = x2 + 3x + 2 different from y = x2 + 2x + 1?

Answer 1

Do you know how to factorize quadratic equations?

Answer 2

no not really its an essay question for 10 points

Answer 3

equations of the form \[Ax ^{2}+Bx+C =0\] can be factorized by the following steps
I ) multiply A*C
II ) then find the factors of the product such that the sum or difference of the the factors = B
\[x^2+3x+2\]
A= 1 B = 3 and C= 2
A*C = 2
factors of 2 are 1, 2
1+2 = 3 ( = B)

III ) now split the middle term (3x) into x + 2x\[x^2+3x+2 = x^2 +x +2x+2 \]\[ x (x+1) +2 (x+1) = (x+1)(x+2)\]
So the factors of the quadratic equation are (x+1) and (x+2)

Answer 4

ok thank you so much @akitav

Answer 5

Its been a pleasure :)

Answer 6

work out the factors for the other equation and check whether they have anything in common.