43.6k views
17 votes
Please help and explain with words please
find the roots of the polynomial
8t^2-2t-3 ​

User SeanR
by
4.9k points

1 Answer

3 votes

Answer:

For a polynomial of the form ax²+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c = 8⋅ −3=−24 and whose sum is b=−2.

8t²+4t−6t−3

Factor out the greatest common factor from each group.

4t(2t+1)−3(2t+1)

Factor the polynomial by factoring out the greatest common factor, 2t+1.

(2t+1)(4t−3)

Explanation: