Question

Which terms complete the factorization of x2+27x+162 represented by the model?

Answer 1

Answer:

its factors are 18 and 9

Step-by-step explanation:

you have to factorise the equation with 2 terms such that the their sum gives you the coefficient of the middle term (270) and their product gives you the product of the last term(162) and the coefficient of the first term (in this case 1).

always arrange the equation such that, the term with the power 2 comes first , term with the variable(variables are the letters) of power 1 comes second, and the constant (term without variable like 162,etc) comes last.

in this equation you can find 2 numbers 18 and 9 which fit the description.

in every quadratic equation only 2 numbers can fit the description given above. hence there are only 2 terms.

hope this helped.