Question

p (X) = X² -4x+5 find p(-1) + p(-2) + p (-3)​

Answer 1

$\huge\mathbf\red{Answer}$

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$\huge \tt \green {\fbox {53}}$

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$\mathcal\purple{✰Explanation:-}$

$\color{orange} {\mid{\fbox{\sf{✰Given}}\mid}}$

${➟p(X)=X^2-4x+5}$

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$\color{cyan} {\mid{\fbox{\sf{✰p(-1)}}\mid}}$

${➟p(-1)= (-1)^2-4(-1)+5}$

$\text{➟p(-1)= 1+4+5}$

$\text{➟p(-1)= 10}$ ---------->①

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$\color{pink} {\mid{\fbox{\sf{✰p(-2)}}\mid}}$

${➟p(-2)= (-2)^2-4(-2)+5}$

$\text{➟p(-2)= 4+8+5}$

$\text{➟p(-2)= 17}$ ---------->②

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$\color{magenta} {\mid{\fbox{\sf{✰p(-3)}}\mid}}$

${➟p(-3)= (-3)^2-4(-3)+5}$

$\text{➟p(-3)= 9+12+5}$

$\text{➟p(-3)= 26}$ ---------->③

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✰Adding equations ①,②&③ we get,

$\text{➟p(-1)+p(-2)+p(-3)}$

$\text{➟10+17+26}$

${✰Which\: gives\: 53\: as\: the\: answer}$

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$\fcolorbox{blue}{black}{\color{blue}{Hope\: it\: works}}$