Q 6.17TI - Intermediate Algebra

Question

Factor: $q^2+ 10q + 24$

Step-by-Step Solution

Answer

The factors for the expression $q^2+ 10q + 24$ are,$\left(y+6\right)\left(y+4\right)$.

Step 1 Given expression is,

$q^2+ 10q + 24$.

The objective is, we need to find the factors for this expression.

Step 2 Observe the given expression.

The last term is,$24$ and the middle term is,$10$.

Find the two numbers that multiply $24$ and add to $10$.

Step 3 Find the required numbers by using the table values.

Let us draw a table to get the required numbers.

 So, the required factors are,$\left(y+6\right)\left(y+4\right)$.