Question

A quadratic polynomial whose zeros are -3 and 4 is​

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

Let the assume quadratic polynomial be ax²+bx+c=0, where a≠0 and it’s zeroes be α and β.

Here

α = -3

β = 4

We know that

(1) Sum of the zeroes

⇒ α + β

⇒ -3 + 4

⇒ 1 ……………………………(1)

(2) Product of the zeroes

⇒ α × β

⇒ -3 × 4

⇒ -12……………………………(2)

∴ The quadratic polynomial ax²+bx+c is k[x2 + (α + β)x + αβ]

Where k is constant.

k[x2 + (α + β)x + αβ]

From equation (1) and (2) we get

⇒ k[x² -11x -12]

When k = 1 the quadratic equation will become

x² -11x -12

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