Answer:
1. 2x−11
2. x²−2x−8
Step-by-step explanation:
1.
Regroup terms.
Expand by distributing terms.
Collect like terms.
Simplify.
2.
Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd(a+b)(c+d)=ac+ad+bc+bd.
Collect like terms.
Simplify.
Answer:
15
Step-by-step explanation:
The x-intercepts -3 and -5 are also "roots" of the polynomial. The corresponding factors are (x + 3) and (x + 5). Multiply the constants together: 3*5 = 15. This is the desired constant term.
Note that your f(x) = x2 + 8x + should be written f(x) = x^2 + 8x + ... The " ^ " denotes exponentiation.
Check: Multiply (x + 3) and (x + 5) together and compare the result to the given polynomial with constant term 15:
f(x) = (x + 3)(x + 5) = x^2 + 3x + 5x + 15 = x^2 + 8x + 15. This matches!
Answer:
Step-by-step explanation:
She has 36 yards of material.
She needs 1 1/3 + 1/6 for each place setting
1/3 + 1/6 = 1/2
She needs 1 1/2 yards of material for each setting
1 1/2 = 1.5
She has to divide 36 by 1.5. If there is anything left over, it becomes scrap to be used for her next project.
You can use the following formula
- # settings = Total material/setting length
- # settings = 36/1.5 = 24
She can make 24 settings with nothing left over.
Answer:
b
Step-by-step explanation: