Question

b) What should be added to
4x3 - 6x² + 7x - 12 to get (x2 - 2x + 5)(x + 3) ?
Factorise the eyn
cinquitable identity or​

Answer 1

Answer:

First simplify :

$(x^2-2x+5)(x+3)$

$=x^3-2x^2+5x+3x^2-6x+15$

$=x^3+x^2-x+15$

Now subtract the equations to find the answer :

$(4x^3-6x^2+7x-12 )-(x^3+x^2-x+15)$

$=4x^3-6x^2+7x-12-x^3-x^2+x-15$

$=4x^3-x^3-6x^2-x^2+7x+x-12-15$

$=3x^3-7x^2+8x-27 \: \: <---answer$