Question

$4x^2 - 17x + 4$

Explanation:

Step1: Split middle term

Find two numbers that multiply to $4\times4=16$ and add to $-17$. These numbers are $-16$ and $-1$.
$4x^2 - 16x - x + 4$

Step2: Group and factor pairs

Group first two and last two terms, factor out GCFs.
$4x(x - 4) - 1(x - 4)$

Step3: Factor common binomial

Extract the shared binomial factor.
$(4x - 1)(x - 4)$

Answer:

$(4x - 1)(x - 4)$