Question

Taking x=100 write the number 31621 in the form of a quadratic equation and find its two factors​

Answer 1

Given

x = 100

The number - 31621

To find:

write it in quadratic equation

find two factors

Solution:

$x = 100$

The number= 31621

The quadratic equation will be :

$3 {x}^{2} + 16x + 21$

Proving,

$3 {x}^{2} + 16x + 21$

$3 ({100}^{2} ) + 16 (100) + 21$

$3(10000) + 1600 + 21$

$30000 + 1621$

$31621$

Therefore, the equation is correct.

Factors.

$3 {x}^{2} + 16x + 21$

$3 {x}^{2} + 7x + 9x + 21$

$x(3x + 7) + 3(3x + 7)$

$(x + 3)(3x + 7)$

Therefore, the factors are

$(x + 3) = 0$

$x - 3$

and

$3x + 7 = 0$

$3x = - 7$

$x = \frac{ - 7}{3}$

Therefore, the two factors of x are -3 and -7/3