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Explanation:

Question 10

Step1: Identify root condition

Set each factor to 0:
$x+2=0$, $x+4=0$, $x-5=0$

Step2: Solve for x

$x=-2$, $x=-4$, $x=5$

Step1: Apply Rational Root Theorem

Potential roots are $\pm\frac{\text{constant factors}}{\text{leading coefficient factors}}$

Step2: Calculate potential roots

$\pm\frac{1,2}{1,-1} = \pm1, \pm2$

Step1: Bring down leading coefficient

Bring down 3.

Step2: Multiply and add

$3\times1=3$; $8+3=11$

Step3: Multiply and add

$11\times1=11$; $-2+11=9$

Step4: Multiply and add

$9\times1=9$; $5+9=14$

Answer:

$\boldsymbol{ x = -2, -4, 5 }$ (matches the first option)

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Question 11