Question

Find the sum and product of the polynomial x² – 6 x + 5.​

Answer 1

➣ Answer

• Sum of zeros = 6.

• Product of zeros = 5.

➢ Given

• A quadratic polynomial x² - 6x + 5.

➣ To Find

• Sum and product of zeros.

➢ Step By Step Explanation

Given that a quadratic polynomial x² - 6x + 5.

We need to find the sum and product of the zeros.

Let's do it !!

In the given polynomial,

Coefficient of x² => 1

Coefficient of -6x => -6

Coefficient of 5 => 5

➠ Formula Used

$\dag\underline{\boxed{\tt{\color{purple}{Sum \: of \: Zeros = \cfrac{ - b}{a}}}}}$

$\dag\underline{\boxed{ \tt{\color{red}{Product \: of \: Zeros = \cfrac{c}{a}}}}}$

➠ By substituting the values

➠ Sum of zeros ⤵

$\longmapsto \tt \: Sum \: of \: Zeros = - \bigg( \cfrac{ - 6}{1}\bigg) \\ \\ \longmapsto\tt \: Sum \: of \: Zeros = - ( - 6) \\ \\\longmapsto \tt Sum \: of \: Zeros = 6$

Sum of zeros = 6.

➠ Product of zeros ⤵

$\longmapsto\tt \: Product \: of \: Zeros = \cfrac{5}{1} \\ \\ \longmapsto\tt \: Product \: of \: Zeros = 5$

Product of zeros = 5.

Therefore, Sum of zeros = 6. and Product of zeros = 5.

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