Question

LORD PLEASE HELP ME IM SO STUCK RN

Explain how to factor when the leading coefficient is 1.

Question 1 options:

Find the factors of b that add up to c.


Find the factors of c that add up to b.


Find the factors of c that multiply to b.


Find the factors of b that multiply to c.

Answer 1

• If a equation be ax^2+bx+c

Leading coefficient=a=1

So

the equation becomes

• x^2+bx+c
• Now find the factors of c that can add up to b

Usually we find factors of ac but as a is 1 so it yields c only

Answer 2

Find the factors of c that add up to b.

Explanation:

For example, if you were factoring

x^2 + 12x + 35

a=1

b=12

c=35

In order to factor, we're looking for what multiplies to 35, and adds up to 12. What multiplies to 35 are the factors of 35. In this case its 5 and 7.

5 × 7 = 35

5 + 7 = 12

So you could factor

x^2 + 12x + 35

= (x + 5)(x + 7)