Question
What is the product of these binomials?
A.
B.
C.
D.
A.
B.
C.
D.
Ask by Tran Hall. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The product is
, so the correct answer is A.
Solution
To find the product of the binomials
, you can use the distributive property (also known as the FOIL method for binomials):
So, the simplified product is:
Answer:
A.
A.
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To find the product of the binomials
, we can use the distributive property, sometimes called the FOIL method (First, Outer, Inner, Last). When we multiply these, we get:
- First:
- Outer:
- Inner:
- Last:
Now combining all these results:
So, the correct answer is A.
!
Now, if you’re looking to impress your friends, remember that factoring can be super handy. For instance, from the original product
, if you ever need the expressions back, simply consider finding the roots where each factor equals zero, x=6 and x=-2. Voilà! You’ve got the solutions!
Also, when multiplying binomials, be mindful of sign changes! A small mistake in signs can completely alter your results. Practice by multiplying simple binomials and double-checking your work to ensure you catch any pesky sign errors!