Question

Zeroes and
athamatics
find the Zeroes
establish a Relationship to the
the Polynomial 497-49-8. Alle
coefficieus
of the quadratic folynomal
nronto and Verify Relationship of the
find the serves
the Leroy
and
the coefficients​

Answer 1

Answer:

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Answer 2

Answer:

Example 4: If α and β are the zeros of ax2 + bx + c, a ≠ 0 then verify the relation between the zeros and its coefficients. Sol. Since a and b are the zeros of polynomial ax2 + bx + c. Therefore, (x – α), (x – β) are the factors of the polynomial ax2 + bx + c.

A zero is the location where a polynomial intersects the x-axis. These locations are called zeros because the y-values of these locations are always equal to zero. A factor is one of the linear expressions of a single-variable polynomial. A polynomial can have several factors, such as the factors...

Answer:

Step-by-step explanation:

To find: Quadratic Polynomial.

where , ( α + β ) is sum of zeroes and αβ is product of zeroes.

Here, α = - 4 and β = 2. ⇒ α + β = -4 + 2 = -2.

αβ = -4 × 2 = -8. ⇒ Quadratic Polynomial = k ( x² - ( -2 ) x + ( -8 ) ) = k ( x² + 2x - 8 ) Therefore, Quadratic Polynomial is k ( x² + 2x - 8 ).

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