Respuesta :
To factor a trinomial in the form ax2 + bx + c, find two integers, r and s, whose sum is b and whose product is ac. Rewrite the trinomial as ax2 + rx + sx + c and then use grouping and the Distributive Property to factor the polynomial.
Essentially you need to find some common factor between two terms and then group them. It is slightly to conceptualize and understand. an ez method is (a)(c) = n
so if i have ax + bx + c then i need to find the product of a and c (n) and then find two numbers that are multiply to n and add to b
So EXAMPLE TIME:
2x² + 5x + 3
n = 6
3 x 2 = 6 and 3 + 2 = 5
2x^2 + 3x + 2x + 3
(2[tex] x^{2} [/tex] + 2x) + (3x + 3)
2x(x+1) + 3(x+1) Now we can group!
(2x+3)(x+1)
so if i have ax + bx + c then i need to find the product of a and c (n) and then find two numbers that are multiply to n and add to b
So EXAMPLE TIME:
2x² + 5x + 3
n = 6
3 x 2 = 6 and 3 + 2 = 5
2x^2 + 3x + 2x + 3
(2[tex] x^{2} [/tex] + 2x) + (3x + 3)
2x(x+1) + 3(x+1) Now we can group!
(2x+3)(x+1)