Question

a quadratic polynomial,whose zeroes are -3 and 4 is
a.x^2-x+12
b.x^2+x+12
c.x^2-x-12
d.2x^2+2x-24​

Answer 1

Step-by-step explanation:

☆Given☆

• Zeros are -3 and 4

☆To find☆

• A quadratic polynomial, whose zeros are -3 and 4

☆Solution☆

• Quadratic polynomial when Zeros are given :
• $\sf {x}^{2} - (\alpha + \beta)x + \alpha \beta----- Equation 1$

Finding sum of zeros

• → -3 +4
• →1

Finding Product of zeros

• → -3(4)
• → - 12

Putting the value in -----(equation 1)

• $\sf\rightarrow {x}^{2} - x - 12$

$\sf {\huge \therefore}Quadratic \: polynomial = {x}^{2} - x - 12$