Question

Factories them

1. x² + 11x + 30
2. 2n² - 10n +28 =0
3. q² - 10q+21 ​

Answer 1

pattern2+11+302+6+5+302

$\sf:Note \: that \:  11=5+6  \: and 30=5×6. This \: helps \: us \: to \: split \: the \: trinominal \: as \: </p><p>x2+11x+30=x2+5x+6x+30=x(x+5)+6(x+5)</p><p>thus x+6 and x+5 are \: the \: factors. \red: </p><p></p><p>$

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$\large\mathbb\blue{HOPE\:IT\:HELPS}$

Answer 2

Step-by-step explanation:

1)

${x}^{2} + 11x + 30$

${x }^{2} + 5x + 6x + 30$

$x(x + 5) + 6(x + 5)$

$(x + 5)(x + 6)$

2.

2.

$2 {n}^{2} - 10n + 28$

$2 {n}^{2} - 14n + 4n - 28$

$2n(n - 7) + 4(n - 7)$

$(n - 7)(2n + 4)$

3.

${q}^{2} - 10q + 21$

${q}^{2} - 7q - 3q + 21$

$q(q - 7) - 3(q - 7)$

$(q - 7)(q - 3)$