Question

(a) x2 + 8x + 7
(b) x2​

Answer 1

$\huge\underline\frak\orange{ϙᴜᴇsᴛɪᴏɴ:-}$

Fɪɴᴅ - x² + 8x + 7

$\huge\underline\frak\orange{Aɴsᴡᴇʀ:-}$

$= {x}^{2} + 8x + 7 \\ = {x}^{2} + (1 + 7)x + 7 \\ = {x}^{2} + x + 7x + 7 \\ = x(x + 1) + 7(x + 1) \\ = (x + 7)(x + 1) \\ either \\ x = -7 \: or \: - 1$

Tʜᴀɴᴋ ʏᴏᴜ☺️✌️...

Answer 2

${\Huge{\color{blue}{\mathfrak{Question: - }}}}</p><p>$

(a) x² + 8x + 7

$\underbrace{ \mathtt{\huge{\Huge{\color{red}{A}{{\color{orange}{N}{{\color{green}{S}{{\color{blue}{W}{{\color{indigo}{E}{{\color{violet}{R}}}}}}}}}}}}}}}$

Factorrising the equation

$\large \mathtt{ \leadsto{ {x}^{2} + 8x + 7}}$

$\large \mathtt{ \leadsto{ {x}^{2} + 7x + 1x + 7}}$

$\large \mathtt{ \leadsto{x(x + 7) + 1(x + 7)}}$

$\color{green} \large \mathtt{ \leadsto{(x + 1) \: \: (x + 7)}}$

Values of x are :-

$\large \mathtt{ \implies{x + 1 = 0}} \\ \large{\color{red}{\boxed{\mathtt{ \implies{x = - 1}}}}}$

$\large \mathtt{ \implies{x + 7 = 0}} \\ \large{\color{red}{\boxed{\mathtt{ \implies{x = - 7}}}}}$