Question

Find the quadratic polynomial, the sum and product of whose zeroes are

(b)-3 ,-7
Class 10​

Answer 1

Answer:

Quadratic polynomial will be x^2+3x-7

Step-by-step explanation:

• Let the quadratic polynomial be ax ^2+bx+c and its zeros be α and β.

STEP 1: α+β = −3 = − b/a

STEP 2: αβ = -7 = c/a

STEP 3: If a=1, then b= 3 and c= -7

STEP 4 : Hence,  one quadratic polynomial will be x^2+3x-7

Answer 2

$\huge\fbox \red{A}\fbox \blue{N}\fbox \green{s}\fbox \pink{w}\fbox \orange{e}\fbox \red{R}$

=> Let, the quadratic polynomial be k(ax² + bx + c) and its zeroes be α and β respectively.

=> Now,

-------> Sum of zeroes = α + β

= -3

= -3

= -3/1

= -b/a

-------> Product of zeroes = α × β

= -7

= -7/1

= c/a

=> Here, a = 1, b = 3, and c = -7.

$\longrightarrow$ So, by comparing this value in k(ax² + bx + c), we get polynomial

$\large\fbox{ x² + 3x - 7}$

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