Answer:
The equations could be used to find one of the numbers is,
Step-by-step explanation
Let two integers be a and b.
As per the given statement:
The product of two integers is 112.
⇒ ......[1]
Also, One number is 4 more than three times the other.
⇒b = 3a +4 ......[2]
Now substitute equation [1] in [2] we get
Using distributive property i.e,
Simplify:
therefore, the equation that could be used to find one of the numbers is;
Answer:
The original polynomial is .
Step-by-step explanation:
The division of polynomial is analogue to the division of integers or natural numbers. For example, if we divide 25 by 6, we obtain that 4 is the quotient and the remainder is 1. We can recover 25 as 25 = 6*4+1.
Then, with this particular case, if we denote by P(x) the original polynomial, we have:
Expanding the above multiplication:
In general, given a polynomial P(x), if we divide it by another polynomial Q(x) (the divisor), there exist polynomials S(x) (the quotient) and R(x) (the remainder) such that
P(x) = Q(x)S(x) + R(x).