9514 1404 393
Answer:
2x² +5x -12 = 0
Step-by-step explanation:
When p and q are roots of a quadratic, its factored form can be written as ...
(x -p)(x -q) = 0
Here, the roots are given as -4 and 3/2, so the factored form would be ...
(x -(-4))(x -(3/2) = 0
Multiplying by 2 gives us ...
(x +4)(2x -3) = 0
Expanding the product, we find the desired quadratic is ...
2x² +5x -12 = 0
Answer:
(x - 5) (x - 7)
Step-by-step explanation:
<em><u>To factor this trinomial, you must split the middle term (-12x) into two terms that can be added to get -12x, and multiplied to get 35:</u></em>
<em><u /></em> - 12x + 35
-7x - 5x + 35
<em><u>Group:</u></em>
( -7x) (-5x + 35)
<em><u>Take out the GCF (Greatest Common Factor):</u></em>
x(x - 7) -5(x - 7)
(x - 5) (x - 7)
