Question 258957


1. k(t)=7t^2+14t 

Simplifying..

k(t) = 7*t*t + 14*t
k(t) = 7*t*t + 7*2*t -->( Because 7 * 2 = 14)
Picking the common no.s
k(t) = 7*t (t + 2*t)
Final Answer:

k(t) = 7t(t+2t)

Similarly..

2. g(x)=x^2+10x+16
g(x) = x^2 + (2x + 8x) + 2*8 -->(splitting 10x and 16)
g(x) = x(x+2)+8(x+2) --> (picking out the common factors)

Final Answer:
g(x) = (x+2)(x+8) --> (picking out the common factors)

3. j(x)=x^2+10 -->This function cannot be factored