Question

If p(x) = x 2 − 4x + 3 , evaluate p(2)−p(1) / p(−3)

Answer 1

Answer:

$p(x) = {x}^{2} - 4x + 3 \\\blue{\mathfrak{\underline{\large{For \: x=2}}}:} \\ p(2) = {(2)}^{2} - 4(2) + 3 \\ = 4 - 8 + 3 \\ = - 1 \\\blue{\mathfrak{\underline{\large{For \: x=1}}}:} \\ p(1) = {(1)}^{2} - 4(1) + 3 \\ = 1 - 4 + 3 \\ = 0 \\\blue{\mathfrak{\underline{\large{For \: x= - 3}}}:} \\ p( - 3) = {( - 3)}^{2} - 4( - 3) + 3 \\ = 9 + 12 + 3 \\ = 24 \\ \frac{p(2) - p(1)}{p( - 3)} = \frac{ - 1 - 0}{12} = - \frac{1}{12} \\ \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \green{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$