Question

A quadratic polynomial, whose zeros are 5 and -8 is
(a)x^2+13x-40
(b) x^2 + 4x-3
(c)x^2 + 3x - 40
(d)x^2 - 3x + 40​

Answer 1

Answer:

(a) x²+13x-40

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Answer 2

Answer:

c) x² + 3x - 40

Step-by-step explanation:

Zeros are given as 5 and -8.

Finding the sum of Zeros:

Sum of Zeros = 5 + (-8)

→ Sum of Zeros = -3

Finding the product of zeros:

Product of zeros = 5 × (-8)

→ Product of Zeros = -40

The General formula of Quadratic Polynomial when it's sum and product of zeros is known can be given as:

Polynomial = x² - (Sum of Zeros)x + Product of Zeros

→ Quadratic polynomial = x² - (-3)x + (-40)

→ Quadratic polynomial = x² + 3x - 40

So, Quadratic polynomial = x² + 3x - 40

KNOW MORE:

★ Generally Zeros of a Quadratic polynomial are represented by Alpha and Beta symbols.

★ For a Quadratic polynomial of general form ax² + bx + c

• Sum of Zeros = -b ÷ a
• Product of zeros = c ÷ a