Question

Factorise:
vii)p^2+14p+13
Please help me....​

Answer 1

(p+13)(p+1)

Explanation:

p² + 14p + 13

we want to find two numbers that add to 14 and multiply to 13

we can start looking by listing the factors of 13

we get 13 and 1 and -13 and -1

13 and 1 multiply to 13 ( 13 × 1 = 13 ) and add to 14 ( 13 + 1 = 14 )

-13 and -1 multiply to 13 ( -13 × -1 = 13 ) and add to -14 ( -13 + -1 = -14 )

the two numbers that would add to 14 and multiply to 13 would be 13 and 1

now we can factor out the two numbers from 14 and split the p from p² to get (p+13)(p+1)

and we are done