Example 1: Solving a Polynomial Equationmrshuntsmathsite.weebly.com/uploads/3/8/1/3/... · 1...
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53 Solving Polynomial Functions.notebook 1 February 21, 2017 5-3 Solving Polynomial Equations: Example 1: Solving a Polynomial Equation 2x 3 - 5x 2 = 3x Make sure your equation is set equal to zero! (Factor out the common factor, x) Factor the trinomial in parenthesis by multiplying the leading coefficient and constant term: 2 and 3 = 6. Then find factors of 6 that add to give you the middle term, 5. 6: 1 and 6 *Factor by grouping Set each piece equal to 0 and solve for x.
Transcript of Example 1: Solving a Polynomial Equationmrshuntsmathsite.weebly.com/uploads/3/8/1/3/... · 1...
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5-3 Solving Polynomial Equations:
Example 1: Solving a Polynomial Equation
2x3 - 5x2 = 3xMake sure your equation is set equal to zero!
(Factor out the common factor, x)
Factor the trinomial in parenthesis by multiplying the leading coefficient and constant term: 2 and 3 = 6. Then find factors of 6 that add to give you the middle term, 5. 6: 1 and 6
*Factor by grouping
Set each piece equal to 0 and solve for x.
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Example 2: 3x4 + 12x2 = 6x3
3x2 is the common factor.
Factor the trinomial in parenthesis if possible if not
us quadratic formula.
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check:
check :
Distribute to check
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Example 3: 64x3-1 = 0Use the formula from the previous page!
Set both pieces equal to zero
use factoring or quadratic equation
to find the zeros.
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Practice: x3 = 1
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More worked out examples:
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pg. 301
#'s 11, 15, 18, 23, 31, 48
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