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IB×SL JUNIOR×YEARARITHMETIC×BASICSFACTORWORKSHEET #1: background×knowledgePositive×integers×which×divide×exactly×into×Steven×NUMBER2×is a factor×thus×is divisible×by 2ODD×NUMBER It×is not×divisible×by 2PRIME×Supernatural×number×with×only×two×factors: 1×and×itselfCOMPOSITE×Supernatural×number×with×more×than×two×factorsFUNDAMENTAL×THEOREM×Every×composite×number×can×be written×as the
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01
Step 1: Begin by expressing the polynomial equation in the standard form ax^2 + bx + c = 0.
02
Step 2: Factorize the polynomial equation if it can be factored. This is done by finding the factors of 'a' and 'c' that add up to 'b'.
03
Step 3: Set each factor equal to zero and solve for the variable. This will give you the possible values of the zeros.
04
Step 4: If the polynomial cannot be easily factored, use the quadratic formula x = (-b ± √(b^2 - 4ac)) / 2a. This formula yields the zeros directly.
05
Step 5: Double check your solutions by substituting them back into the original equation. If the equation is true, then the values are indeed zeros of the polynomial.
Who needs finding zeros of polynomials?
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Anyone studying or working in the field of algebra or mathematics may need to find zeros of polynomials.
02
Engineers, physicists, and scientists often encounter polynomial equations in their work and need to find their zeros for various calculations and analysis.
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Mathematics teachers and students learning algebraic concepts also need to understand how to find zeros of polynomials.
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Individuals interested in solving real-life problems or modeling phenomena using mathematical equations may also need to find zeros of polynomials.
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