Answer
a) $(4x-1)(5x^{2}+11)$
b) $(4x-1)(5x^{2}+11)$
Work Step by Step
a) $20x^{3} - 5x^{2} + 44x - 11$
Group the first two terms and last two terms together
$(20x^{3} - 5x^{2}) + (44x - 11)$
Factor out the GCF from the first two terms and last two terms
$5x^{2}( 4x-1) +11( 4x-1)$
Take out (4x-1) common factor and that gives us
$(4x-1)(5x^{2}+11)$
b) By adding the second set of polynomials we see that we end up with the same polynomial
$20x^{3} - 5x^{2} + 44x - 11$
Group the first two terms and last two terms together
$(20x^{3} - 5x^{2}) + (44x - 11)$
Factor out the GCF from the first two terms and last two terms
$5x^{2}( 4x-1) +11( 4x-1)$
Take out (4x-1) common factor and that gives us
$(4x-1)(5x^{2}+11)$
