Find a quadratic polynomial, one of whose zeroes is √5 and the sum of zeroes is 4. About the author Margaret
We know that the format of a quadratic polynomial is [tex] \normalsize \pink {\tt {{x}^{2} + (\alpha + \beta)x + (\alpha(\beta)}}[/tex] where, alpha and beta are the zeroes of the quadratic polynomial. Given, zero are : √5 Sum of the zeroes = 4 Another zero = 4 – √5 Total zeroes of the quadratic polynomial are: √5 and 4 – √5 So, the required polynomial is given below: [tex]\large\pink{\mathtt{x² \: + 4x \: + \: 4√5 \: – \: √5}}[/tex] Reply
We know that the format of a quadratic polynomial is [tex] \normalsize \purple {\tt {{x}^{2} + (\alpha + \beta)x + (\alpha)(\beta)}} [/tex] where, alpha and beta are the zeroes of the quadratic polynomial. Given, zero are : √5 Sum of the zeroes = 4 Another zero = 4 – √5 Total zeroes of the quadratic polynomial are: √5 and 4 – √5 So, the required polynomial is given below: [tex] \LARGE \purple {\tt {{x}^{2} + 4x + 4 \sqrt{5} – \sqrt{5} }} [/tex] Reply
We know that the format of a quadratic polynomial is [tex] \normalsize \pink {\tt {{x}^{2} + (\alpha + \beta)x + (\alpha(\beta)}}[/tex]
where, alpha and beta are the zeroes of the quadratic polynomial.
Given, zero are : √5
Sum of the zeroes = 4
Another zero = 4 – √5
Total zeroes of the quadratic polynomial are: √5 and 4 – √5
So, the required polynomial is given below:
[tex]\large\pink{\mathtt{x² \: + 4x \: + \: 4√5 \: – \: √5}}[/tex]
We know that the format of a quadratic polynomial is [tex] \normalsize \purple {\tt {{x}^{2} + (\alpha + \beta)x + (\alpha)(\beta)}} [/tex]
where, alpha and beta are the zeroes of the quadratic polynomial.
Given, zero are : √5
Sum of the zeroes = 4
Another zero = 4 – √5
Total zeroes of the quadratic polynomial are: √5 and 4 – √5
So, the required polynomial is given below:
[tex] \LARGE \purple {\tt {{x}^{2} + 4x + 4 \sqrt{5} – \sqrt{5} }} [/tex]