Question

Find the quadratic polynomial whose sum and products of the zeros are 5 and -6.​

Answer 1

Answer:

x²–5x–6

Step-by-step explanation:

x²–(sum of zeroes)x + product of zeroes

x²–5x–6

Answer 2

GivEn:

• Sum of zeros = 5

• Product of zeros = -6

To find:

• Quadratic polynomial?

Solution:

~ We know that the product of zeroes in the quadratic polynomial is -6 and sum of zeroes in the quadratic polynomial is 5, We're asked to find the quadratic polynomial, Firstly, We need to apply the formula x² - (sum of zeroes)x + product of zeroes. By applying this, We get our answer in quadratic form. As we know that quadratic polynomial is in the form of ax² + bx + c = 0.

• Let the quadratic polynomial be ax² + bx + c = 0.

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« Now, Solving by applying the formula,

x² - (sum of zeroes)x + product of zeroes

→ x² - (+5x) + (-6)

→ 1x² - 5x - 6

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« The required polynomial will be,

→ 1x² - 5x - 6

→ x² - 5x - 6 = 0

∴ Hence, The quadratic polynomial will be x² - 5x - 6 = 0, Respectively.