Question

5. Find the values of k that make 2x2 + kx + 11 factorable.
a=1 or 11
b=11 or 13
c=13 or 23
d=2 or 11

Answer 1

for any quadratic

\[ax^2 +bx + c \]

b is the sum of the factors of a*c

so you need to find the factors of 2*11 = 22

so they can be 2 and 11 or 1 and 22...

then b = 13 or b = 23

so the quadratic would become

\[2x^2 +13x + 11 = (x + 1)(2x + 11)\]

or

\[2x^2 + 23x + 11 = (2x + 1)(x + 11)\]

hope it helps