Answer: the two numbers are 6 and 11.
Set up the individual equation according to the verbal statements:
<em>A positive number is 5 less than another positive number:</em>
a = b - 5 (this also implies that a<b)
<em>Six times the lesser number minus 3 times the greater number is 3. </em>
<em>Find the two positive numbers.</em>
This is a system of linear equations - solve for a and b:
<em></em>
Answer:
Step-by-step explanation:
We can solve this multiplication of polynomials by understanding how to multiply these large terms.
To multiply two polynomials together, we must multiply each term by each term in the other polynomial. Each term should be multiplied by another one until it's multiplied by all of the terms in the other expression.
Let's first start by multiplying the first term of the first polynomial, , by all of the terms in the second polynomial. (
)
Now, we can add up all these expressions to get the first part of our polynomial. Ordering by exponent, our expression is now
Now let's do the same with the second term () and the third term (
).
Phew, that's one big polynomial! We can simplify it by combining like terms. We can combine terms that share the same exponent and combine them via their coefficients.
This simplifies our expression down to .
Hope this helped!