Factor Using “COMPLETING THE SQUARE” Look at these trinomials that are perfect square trinomials. x 2 + 6x + 9 = ( x + 3 ) 2 x 2 – 12x + 36 = ( x – 6 ) 2 Notice: Factoring using “Perfect Square Trinomials” or the “T” Method will give you the square of the binomial outcome. To complete the square for an expression in the form x 2 + bx, you must add to the expression. Examples: Find n to complete the square. 1. 2. 3. STEPS TO COMPLETE THE SQUARE: 1) 2) 3) 4) 5) 6) If the leading coefficient is NOT one, divide both sides by the leading coefficient TO MAKE IT A ONE. Rewrite the equation in the form x 2 + bx = c Write the trinomial as a square Solve the equation using legal algebra moves Round to the nearest hundredth The constant is always the square of half of the coefficient of the x-term. Or 2 2 b 2 2 b
Factor Using “COMPLETING THE SQUARE”
Jan 01, 2016
Factor Using “COMPLETING THE SQUARE” Look at these trinomials that are perfect square trinomials . x 2 + 6x + 9 = ( x + 3 ) 2 x 2 – 12x + 36 = ( x – 6 ) 2 Notice: Factoring using “Perfect Square Trinomials” or the “T” Method will give you the square of the binomial outcome. - PowerPoint PPT Presentation
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Factor Using “COMPLETING THE SQUARE”
Look at these trinomials that are perfect square trinomials.
x2 + 6x + 9 = ( x + 3 ) 2 x2 – 12x + 36 = ( x – 6 ) 2
Notice:
Factoring using “Perfect Square Trinomials” or the “T” Method will give you the square of the binomial outcome.
To complete the square for an expression in the form x2 + bx, you must add to the expression.
Examples: Find n to complete the square.
1. 2. 3.
STEPS TO COMPLETE THE SQUARE:1)
2)
3)
4)
5)
6)
If the leading coefficient is NOT one, divide both sides by the leading coefficient TO MAKE IT A ONE.
Rewrite the equation in the form x2 + bx = c
Write the trinomial as a square
Solve the equation using legal algebra movesRound to the nearest hundredth
The constant is always the square of half of the coefficient of the x-term. Or
2
2
b
2
2
b
Examples:4. 6.
5. 7.
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