Answer: 491 cards
Step-by-step explanation:
Given
Steve had 10 more cards than Jeff
Suppose Jeff has x cards
So, steve has x+10 cards
Steve handover his cards to Jeff
Now, Jeff has x+x+10=2x+10 cards
It must be equal to 992
Jeff started with 491 cards
Given:
The polynomial is divided by (x+2).
To find:
The remainder.
Solution:
Remainder theorem: If a polynomial p(x) is divided by (x-c), then the remainder is p(c).
Consider the polynomial:
It is divided by (x+2). So, by the remainder theorem the remainder is p(-2).
Substituting x=-2 in the above polynomial, we get
Therefore, the remainder is -9.