218k views
5 votes
Find the missing factor.
5y2 + 4y - 1 = (5y - 1)(
)

Find the missing factor. 5y2 + 4y - 1 = (5y - 1)( )-example-1

1 Answer

3 votes

Answer:

(y + 1)

Explanation:

Given

5y² + 4y - 1

To factorise the quadratic

Consider the factors of the product of the coefficient of the y² term and the constant term which sum to give the coefficient of the y- term

product = 5 × - 1 = - 5 and sum = + 4

The factors are + 5 and - 1

Use the factors to split the y- term

5y² + 5y - y - 1 ( factor the first/second and third/fourth terms )

= 5y(y + 1) - 1(y + 1) ← factor out (y + 1) from each term

= (y + 1)(5y - 1)

User Andy Ray
by
6.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.