Question

1. use synthetic substitution to find $f(1)$ if $f(x)=x^2 + 5x + 9$.

$f(1) = \underline{\quad\quad\quad}$

Explanation:

Step1: List coefficients and root

Coefficients: $1, 5, 9$; Root: $1$

Step2: Bring down leading coefficient

$\downarrow 1$

Step3: Multiply by root, add next coeff

$1 \times 1 = 1$; $1 + 5 = 6$

Step4: Multiply by root, add last coeff

$6 \times 1 = 6$; $6 + 9 = 15$

Answer:

15