Question

What no. Should be added to the polynomial x square - 5x + 4 so that 3 is the zero of the polynomial

Answer 1

✨${\huge{\bold{\mathbb{\red{Hëy Frïèñd...}}}}}$✨

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Here is the Solution...

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${\boxed{\bold{Step\:By\:Step\:Explanation}}}$

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Polynomial = x² - 5x + 4

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Let the number which is to be added be ${\bold{k}}$

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Now polynomial ${\bold{p(x)}}$ = x² - 5x + 4 + k

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Now, 3 is the zero of above polynomial..

p(3) = 0

• (3)² - 5 x 3 + 4 + k = 0

• 9 - 15 + 4 + k = 0

• 13 - 15 + k = 0

• -2 + k = 0

• k = 2

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Therefore, the number which should be added to the polynomial is ${\bold{2}}$

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