Question

Factorize by using Quadratic formula.
${x}^{2} + 7x + 12$
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Answer 1

Hyy Dude ♡

☛ x² + 7x + 12

Given polynomial x²+7x+12

• x²+4x+3x+12

• x(x+4)+3(x+4)

• (x+3)(x+4)

-3,-4 are the zeros

sum of zeros=-7=-b/a=-7

product of zeros =12=c/a=12

hence verified.

Hope it's helps you ☺️

Answer 2

$\sf~ \purple{Answer:-}$

Given:-

x² + 7x + 12

Quadratic formula:-

{-b ± √(b² - 4ac)}/(2a)

Here a=1 , b=7 & c=12

Applying quadratic formula:-

{-7 ± √7² - 4×1×12}/(2×1)

-7 ± √49 - 48/2

-7 ± √1/2

7 ± 1/2

-7 + 1/2 & -7-1/2

-6/2 & -8/2

-3 & -4

The roots of the equation

x² + 7x + 12 by Quadratic formula are $\red{\boxed{\color{#3960EC}{\sf{-3 ~~and~ -4}}}}$