Question

the sum of the zeros of qua dratic polynomial is 15 upon 4 and their products is 3 find polynomial ​

Answer 1

GIVEN:

• Sum of the Zeroes = 15/4
• Product of Zeroes = 3

TO FIND:

• What is the polynomial ?

SOLUTION:

We have given that, the sum of the zeros of quadratic polynomial is 15/4 and their products is 3.

• Sum of Zeroes = 15/4
• Product of Zeroes = 3

We know that, the formation of quadratic polynomial is:-

$\large{\boxed{\bf{\star \: x^2 -sx + p \: \star}}}$

Where,

• s = Sum of Zeroes
• p = Product of Zeroes

According to question:-

On putting the given values in the equation, we get

$\sf{\longmapsto x^2 -sx + p}$

$\sf{\longmapsto x^2 - \Bigg( \dfrac{15}{4} \Bigg)x + 3 }$

$\bf{\longmapsto x^2 - \dfrac{15}{4}x + 3 }$

❝ Hence, the quadratic polynomial formed is x² -15/4x + 3 ❞

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Answer 2

$\huge\red{\underline{{\boxed{\textbf{Answer:-}}}}}$

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Given:-

• sum of zeroes of a polynomial which is 15/3
• product of zeroes of a polynomial which is 3

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To find:-

• The quadratic polynomial

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Solution:-

• When sum and product of zeroes of a polynomial is given,we have to use this formula to find the polynomial.

x^2-(sum of zeroes)x+product of zeroes

According to the Q,

x^2-(15/6)x+3

=x^2-15x/6+3

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•°•the required polynomial is

${x}^{2} - \frac{15x}{6} + 3$

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Verification:-

Sum of zeroes =(-b/a)

={-(-15/6)/1}

=15/6

product of zeroes=c/a

=3/1

=3

hence,verified !!

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$\huge\green{Hope\:this\:help\:you}$

MARK AS BRAINLIEST❤️