Question

factorize z² + 15z–56​

Answer 1

Answer:

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Answer 2

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➠ Factorize : z² + 15z - 56​ = 0

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NOTE : There is a mistake in question !

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Correct question may be :

• z² + 15z + 56​ = 0
• z² - 15z + 56​ = 0

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❏ We can factorize any 2 degree polynomial by using the method of splitting the middle term.

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❏ In this method, we write the middle term i.e coefficient of "x" in such a way by which simplification is made easy.

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❏ We will have a clear look on this method for solving this method.

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➠ Equation : z² + 15z - 56 = 0

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Let's Start !

   

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Let's split middle term and get our answer .-.

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1) z² + 15z + 56​ = 0

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$\bold{ \orange { : \implies z^2 + 15z + 56 = 0 } }$

$\bold { :\implies z^2 + 8z + 7z + 56 = 0 }$

$\bold { \orange { :\implies z(z + 8) + 7(z + 8) = 0 }}$

$\bold { :\implies (z + 7)(z + 8) = 0 }$

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∴ z = (-7) or (-8)

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2) z² - 15z + 56​ = 0

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$\bold{ \orange { : \implies z^2 - 15z + 56 = 0 } }$

$\bold { :\implies z^2 - 8z - 7z + 56 = 0 }$

$\bold { \orange { :\implies z(z - 8) - 7(z - 8) = 0 }}$

$\bold { :\implies (z - 7)(z - 8) = 0 }$

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∴ z = (7) or (8)

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