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x^2+11x+28/x^2+5x+4 simplify expression

Sagot :

zrh2sfo

Answer:

(x + 7)/(x + 1)

Step-by-step explanation:

Simplify the following:

(x^2 + 11 x + 28)/(x^2 + 5 x + 4)

The factors of 4 that sum to 5 are 4 and 1. So, x^2 + 5 x + 4 = (x + 4) (x + 1):

(x^2 + 11 x + 28)/((x + 1) (x + 4))

The factors of 28 that sum to 11 are 7 and 4. So, x^2 + 11 x + 28 = (x + 7) (x + 4):

((x + 4) (x + 7))/((x + 4) (x + 1))

((x + 7) (x + 4))/((x + 4) (x + 1)) = (x + 4)/(x + 4)×(x + 7)/(x + 1) = (x + 7)/(x + 1):

Answer: (x + 7)/(x + 1)

Next time write the expression how it needs to be, the way you wrote it woould have given a toally different result.

x^2 + 11 x + 28/x^2 + 5 x + 4

View image zrh2sfo
Leslielooez9

Answer:

solving this as you would in algebra 2:

x2+11x+28 / x2+5x+4 = x+7 / x+1

Step-by-step explanation:

solving this as you would in algebra 2:

x2+11x+28 / x2+5x+4

1. on both the top and the bottom you have to find a factor of the last number (in this case 28 and 4) that multiplys to be the number but adds to be the 2nd term (11x and 5x)

2. for the top the two terms would be (x+7) and (x+4). on thebottom half it would be (x+4) and (x+1)

** 7 times 4 equals 28, 7 plus 4 equals 11; 4 times 1 equals 4, 4 plus 1 equals

3. x+4 is common term on both the top side and the bottom half so you cross it out. this leaves us with our answer of: x+7 over x+1

hope this helps:)

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