Question

Split the middle term:
7x^2+49x+84

Answer 1

7x² + 49x + 84

= 7x² + 28x + 21x + 84

= 7x(x + 4) + 21(x + 4)

= (x + 4)(7x + 21)

= 3(x + 3)(x + 4).

Answer 2

$\huge\mathfrak\blue{Answer}$

Explanation:

${7x}^{2} + 49x + 84 = 0 \\ divide \: by \: 7 \: on \: both \: sides \\ {x}^{2} + 7x + 12 = 0 \\( x + 4)(x + 3) = 0 \\ x = 4 \\ or \\ x = 3$

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