Question

This lesson discusses factoring general type of trinomials, which are divided into two
forms. These are trinomials in the form of ax2 + bx + c where a=1, and ax² + bx to
where a + 1. Write what you have learned about each one, including the step-by-step
process on how factoring is done. Write your answers on a separate sheet.
For ax2 + bx + c where a = 1
ax2 + bx + c where a € 1.
Concepts Learned:
Concepts Learned:
Give a trinomial of the form ax2 + bx + C Give a trinomial of the form ax2 + bx +
where a = 1 and factor it completely. c where a * 1 and factor it completely.

help meee​

Answer 1

where a = 1 , (x+ b)(x - 4)

where a ≠1,  a ( x + b/2a)² + c - b²/4a

GIVEN: ax² + bx + c

a = 1

a ≠1,
TO FIND: Factors of the given expression
SOLUTION:

CASE1 : For ax² + bx + c,

where a = 1

for example:

x² + 2x - y⁴

we can further factorize this expression completely

(x+ b)(x - 4)

CASE2 : For ax² +bx + c

where a ≠1

= a( x² + b/ax) + 1

= a ( x² +b/ax + b²/4a² - b²/4a²+c)

= a ( x + b/2a)² + c - b²/4a

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