Question

How do you factor 7x^2 – 35x + 28?

Answer 1

Answer : 7(x - 1) × (x + 4)

Step by step explanation :

$7x {}^{2} - 35x + 28$

Factor out 7 from the expression.

$= > 7(x {}^{2} - 5x + 4)$

Write - 5x as a difference.

$= > 7(x {}^{2} - x - 4x + 4)$

Factor out the x from the expression.

$= > 7(x \times (x - 1) - 4x + 4)$

Factor out - 4 from the expression.

$= > 7(x \times (x - 1) - 4x(x - 1)$

Factor out x-1 from the expression.

$= > 7(x - 1) \times (x - 4)$