9.6 british method factoring.notebook -...
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9.6 British Method Factoring.notebook
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March 26, 2013
Today's Bellwork:Today's Bellwork:1. Download 9.6 notes.2. Prepare to correct lesson 9.5.3. Practice the review problems.
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What if your polynomial starts with a negative sign? x2 + bx + c
Factor the trinomials.
x2 + 2x + 8 x2 + 12x 35
QUESTION:
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9.6 Factor ax2 + bx + cAlgebraAlgebra
The British Method3x2 + 14x 5
GOAL: Turn 3 terms into 4 terms because then we can pull a jolly neat trick!
To Factor this:
3x2 + 14x 5Copy Mr. Eisenmann:
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Multiply the x2 term by the constant term.
Split that product into two terms that add up to the middle term of the trinomial _____
(Complete the flag): Bring down the first and last terms so you have 4 terms
Group the 1st 2 terms and the 2nd 2 terms. Factor out the GCF of each pair.
The grouping should be the same and is the first binomial in your answer. The other two factors make up the second binomial in your answer.
3x2 19x + 30Factor the trinomial.The British Method
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6x2 5x 4Factor the trinomial.The British MethodMultiply the x2 term by the constant term.
Split that product into two terms that add up to the middle term of the trinomial _____
(Complete the flag): Bring down the first and last terms so you have 4 terms
Group the 1st 2 terms and the 2nd 2 terms. Factor out the GCF of each pair.
The grouping should be the same and is the first binomial in your answer. The other two factors make up the second binomial in your answer.
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8x2 + 18x + 9Practice on your own. Factor the trinomials using the British Method.
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Solve a polynomial equation by factoring
1. 2x2 3x 35 = 0 2. 4x2 + 11x 3 = 0
3. 8x2 2x = 3 4. x(3x + 14) = 5Set equation equal to 0, factor the expression, solve using the zeroproduct property.
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Finding Zeros of a polynomial functionThe zeros of a function are the xvalues thatwhen plugged inmake the function equal 0.
g(x) = x2 + 24x + 180 Se
t th
e fu
ncti
on e
qual
to
0, fa
ctor
, sol
ve. Find the zeros of the polynomial function.
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