Factor completely If prime write prime 1 x2x10 2 x2x1 3 x3x2

Factor completely! If prime, write prime.

#1     x^2+x-10

#2     x^2-x-1

#3     x^3+x^2+kx+k

Solution

1)

x^2 +x -10

we have tp split the middle term so that the product should be equal to 10

we cannot split the middle term

we cannot factor this as (x-(integer)) form so this is Prime

2)

x^2 -x -1

we have to factor the middle term \"-x\" so that the prodouct of those facors shpuld be \"-1\"(pridu of cifficient of first and last term )

we cannot split the middle term in such a way

so this is Prime

3)

x^3 + x^2 + kx + k

making a group of two terms and pull out the GCF

x^2(x+1) + k (x+1)                      // x^2 and k are the GCF of their respective brackets

(x+1) (x^2 +k)    // it depends on the value of \"k\"