Express the product of the following
binomials as a trinomial:
(x+5)(x+8)

x^2+13x+40

Step-by-step explanation:

To solve this, use the FOIL method. Multiply the first terms, then the outside, then the inside and finally the last terms.

We have the binomials:

(x+5) and (x+8)

The first terms are x and x. The outside terms are x and 8. The inside terms are 5 and x. The last terms are 5 and 8.

Multiply these values.

F (first): x and x

x*x= x^2

O (outside): x and 8

x*8=8x

I (Inside): x and 5

x*5=5x

L ( Last): 5 and 8

5*8=40

Now, add all the products together.

x^2+8x+5x+40

Combine like terms. In this case, the like terms are 8x and 5x.

x^2+13x+40

The final trinomial (three terms) is: x^2+13x+40

452,489 to the nearest thousand is 452,000

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents