English, asked by heemank012, 4 days ago

4. Rewrite as directed: I The wise thoughts in Ernest's mind were more numerous than the white (Change the Degree.) hairs on his head.​

Answers

Answered by jaindhruhi08
0

Answer:

here it is

Explanation:

Quadratic Polynomial will be 4x²+x-4 .

Step-by-step explanation:

\: \: \: \: \: \: \: \bull \: Sum \: of \: root \: \sf \: = \frac{1}{4}∙Sumofroot=

4

1

\: \: \: \: \: \bull \: Product \: of \: root \: \sf \: = - 1∙Productofroot=−1

We have to calculate the quadratic polynomial whose sum and product are given .

We know that a quadratic polynomial when sum and product of its zeros are are given

\bull\bf\: f(x) \: = {x}^{2} - (sum \:of \: root)x \: + (product \: of \: root)∙f(x)=x

2

−(sumofroot)x+(productofroot)

now putting the value we get the required quadratic polynomial .

\begin{gathered} \implies \sf \:f(x) \: = {x}^{2} - (\frac{1}{4})x \: + ( - 1) \: \: \\ \\ \implies \sf \: f(x) \: = {x}^{2} + \frac{1}{4}x \: - 1 \\ \\ \implies \sf \: f(x) \: = {4x}^{2} \: + \:x \: - 4 \\ \\ \\ \therefore \bf \: The \: required \: quadratic \: polynomial \: will \: be \: {4x}^{2} + x - 4\end{gathered}

⟹f(x)=x

2

−(

4

1

)x+(−1)

⟹f(x)=x

2

+

4

1

x−1

⟹f(x)=4x

2

+x−4

∴Therequiredquadraticpolynomialwillbe4x

2

+x−4

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