Question
I need help on factoring monomials in quadratic form.
The problem is:
a² + 17a + 16
I know that the first step is to multiply 16 times the coefficient of "a", which is 1. I get 16.
Now I have to fill in factors that when multiplied, equal 16, but when added, equal 17.
So now I have 16 x 1 = 16
and 16 + 1 = 17.
And now I have to fill in the addition factors to make a² + 16a + 1a + 16.
I am just confused as to what to do next to solve the problem.
The problem is:
a² + 17a + 16
I know that the first step is to multiply 16 times the coefficient of "a", which is 1. I get 16.
Now I have to fill in factors that when multiplied, equal 16, but when added, equal 17.
So now I have 16 x 1 = 16
and 16 + 1 = 17.
And now I have to fill in the addition factors to make a² + 16a + 1a + 16.
I am just confused as to what to do next to solve the problem.
Answers
from your
a² + 16a + 1a + 16 use grouping
a(a+16) + 1(a+16)
=(a+16)(a+1)
you could also have arranged your terms this way
a² + 1a + 16a + 16
=a(a+1) + 16(a+1)
=(a+1)(a+16)
a² + 16a + 1a + 16 use grouping
a(a+16) + 1(a+16)
=(a+16)(a+1)
you could also have arranged your terms this way
a² + 1a + 16a + 16
=a(a+1) + 16(a+1)
=(a+1)(a+16)
Oh, okay! I understand now. Thank you!
Related Questions
Write a brief answer to each question. Provide examples.
a) When is the sum or difference of two...
Factoring by Using a Quadratic Form
Problem: x^4 + 8x^2 - 20
What I have so far:
(x^2)^2 + 8...
Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. Try factoring...
The Solving Quadratic Equations Using Patterns Quick Check
the quadratic equation x2+4x-32=0 can...