Question

Help im in k12 9th grade

Answer 1

Answer:

• (x+2)(x+5)

Step-by-step explanation:

• Factoring  x^2+7x+10
• The first term is,  x^2  its coefficient is  1 .
• The middle term is,  +7x  its coefficient is  7 .
• The last term, "the constant", is  +10
• Step-1 : Multiply the coefficient of the first term by the constant   1 * 10 = 10
• Step-2 : Find two factors of  10  whose sum equals the coefficient of the middle term, which is   7 .
•      -10    +    -1    =    -11
•      -5    +    -2    =    -7
•      -2    +    -5    =    -7
•      -1    +    -10    =    -11
•      1    +    10    =    11
•      2    +    5    =    7    That's it
• Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  2  and  5
•                     x2 + 2x + 5x + 10
• Step-4 : Add up the first 2 terms, pulling out like factors :
•                    x * (x+2)
•              Add up the last 2 terms, pulling out common factors :
•                    5 * (x+2)
• Step-5 : Add up the four terms of step 4 :
•                    (x+5)  * (x+2)
•             Which is the desired factorization

Solution:

• (x+2) * (x+5)

Answer 2

When factoring find 2 numbers that when added together equal the middle value and when multiplied equal the last value.

min this problem the middle value is 7 and the last value is 10

5 + 2 = 7 and 5 x 2 = 10

The answer is: (x+2)(x+5)