Question

$4x^2 - 12x - 27$
the root is: $\frac{9}{2}$
rewrite the root as a linear expression with integer constants:
is the divisor given
what do you need t
1?
how many terms ar
et a coefficient of
options:
$2x - 9$
no
$\frac{1}{2}$
3

Explanation:

Step1: Rewrite root as linear factor

If $x=\frac{9}{2}$ is a root, then $x-\frac{9}{2}=0$. Multiply by 2 to get integer coefficients: $2x-9=0$.

Step2: Verify divisor integer coefficients

The linear expression $2x-9$ has integer coefficients (2 and -9), so the answer to "Is the divisor given..." is Yes (but the option shown matches our factor).

Step3: Count terms in quadratic

The polynomial $4x^2-12x-27$ has 3 terms.

Answer:

Rewrite the root as a linear expression: $2x-9$
Is the divisor given with integer coefficients? Yes (matches $2x-9$)
Number of terms: 3