This week we learned in math 10 how to factor polynomials, specifically trinomials. We learned how to expand the expressions we were getting condescend form that look very confusing. And we learned how to expand it to be more simple and easy to know all of the information we had.

For question a the question in {x^2 +10x +16} we are going to focus on the last variable, (16) we are going to look at all the numbers that multiply into (16), we have 1*16, 2*8, and 4*4. Then we are going to look at the 10x we are going to look at all the multiples of 16 and see if any equal (10) when added together. 2+8 equals 10, so we all know that, that will be the way we get to 16. now we have to expand these equations out x^2 would look like (x)(x). then we add in our +2 and +8 in no specific order. So the equation no looks like (x +2)(x+8). And that is how we expand our equation. there are many methods to solve this equation if you want to check your answer I prefer the DD rule (double distribution rule) the DD rule is where you take the x and the 2 and multiply them one at a time with the other two variables. (X*X)+(X+8)+(2+X)+(2+8) then we have X^2+8x+2x+16 So our final answer would be x^2+10x+16. Which is the same as our original equation.