3q2-5q-28 , 7q2-29q+4 , q2-16
Add 3q2 and 7q2.
Add 10q2 and q2.
Subtract 29q from -5q.
Add -28 and 4.
Subtract 16 from -24.
Factor by grouping.
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=11⋅-40=-440 and whose sum is b=-34.
Factor -34 out of -34q.
Rewrite -34 as 10 plus -44
Apply the distributive property.
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, 11q+10.
Find the HCF 3q^2-5q-28 , 7q^2-29q+4 , q^2-16