Question

what is the factorise of p²+ 14p+13

Answer 1

Given ,

The polynomial is (p)² + 14p + 13

By prime factorisation or splitting middle term method , we get

(p)² + 13p + p + 13 = 0

p(p + 13) + 1(p + 13) = 0

(p + 1)(p + 13) = 0

p = -1 or p = -13

$\sf \therefore \underline{The \: value \: of \: p \: are -1 \: and \: -13}$

Answer 2

$p {}^{2} + 14p + 13 \\ {p}^{2} + 13p + p + 13 \\ p(p + 13) + 1(p + 13) \\ (p + 1)(p + 13)$

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