Question 2 (5 points)
(08.03 LC)
Factor completely: x2 + 7x + 10 (5 points)
a.(x + 5)(x + 2)
b.(x + 10)(x + 1)
c.(x2 + 5)(x + 2)
d .Prime

It's a

Step-by-step explanation:

This is a quadratic expression with the highest power of X being 2.

The coefficient of X² = 1

Note that the general form of a quadratic equation is aX² + bX + C

In this question,

a = 1

b = 7

C = 10

First step is to multiply a and C ( a x C)

= 1 X 10 = 10

Then, find 2 factors of 10 which can both add up to give 7, the coefficient of X given in the question.

The possible factors of 10 are 5 and 2. The sum of 5 and 2 is

5 + 2

Hence, the equation can be written as;

X² + 7X + 10 = X² + 5X + 2X + 10

The next step is to group using a bracket and factorise each bracket individually

(X² + 5X) + (2X + 10) =

X( X + 5) + 2( X + 5) =

(X + 5) (X + 2)

(X + 5) (X + 2) are the factors of the quadratic equation, X² + 7X + 10

answer: 25 is the correct answer

step-by-step explanation: