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
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