Question

Find a quadratic polynomial whose zeroes are − 2 and 5.

A. x2 + 3x + 10

B. x2 − 3x + 10

C. x2 + 3x − 10​

Answer 1

➤ Answer

• The quadratic polynomial = x² - 3x - 10

➤ Given

• Zeroes of the quadratic polynomial are -2 and 5.

➤ To Find

• The quadratic polynomial.

➤ Step By Step Explanation

Given that ⤵

Zeroes of the quadratic polynomial are -2 and 5.

We need to find the quadratic polynomial.

So let's do it !!

➠ Assumption

Let us consider -2 be α and 5 be β.

➠ Formation of quadratic polynomial

$\dag \boxed{\sf{ \pink{{x}^{2} - x( \alpha + \beta ) + \alpha \beta}}}$

➠ By substituting the values

$\longmapsto\tt {x}^{2} - x( \alpha + \beta ) + \alpha \beta \\ \\\longmapsto\tt {x}^{2} - x \{( - 2) + 5 \} + ( - 2) \times 5 \\ \\ \longmapsto\tt {x}^{2} - x\{ 3 \} - 10 \\ \\ \longmapsto\bf{ \green{ {x}^{2} - 3x - 10}}$

Therefore the quadratic polynomial = x² - 3x - 10.

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