Question

Evaluate the given problems.1. (3x + 1)(2x2 + x + 8)2. (5y5 – 15y4 + 25y2) ÷ (5y)3. Use long division to solve (x2 + 2x + 4) ÷ (x + 2)4. Jun constructed a triangular fence for his chickens. Find the area of the triangular fence if its base is x + 3 m and its height is 2x – 4 m.5. The rectangular floor area of a new residential building is 30x2 – 7x – 2 square meters. If its length is 6x + 1 meters, what is its width?

Answer 1

To determine the result of the product of the polynomials, we will use the distributive property:

`(a+b)(c)=ac+bc.`

Using the distributive property, we get:

`(3x+1)(2x^2+x+8)=3x*2x^2+3x*x+3x*8+1*2x^2+1*x+1*8.`

Simplifying the above result, we get:

`6x^3+3x^2+24x+2x^2+x+8.`

Finally, adding like terms we get:

`6x^3+5x^2+25x+8.`

Answer:

`6x^3+5x^2+25x+8.`