Question

• For each of the following,
find a quadratic polynomial
whose two zeroes are given
as follows
a) 4, 5​

Answer 1

Answer:

the zeroes are 4 and 5

their sum = 4 + 5 = 9

and product = 4 × 5 = 20

so,

required quadratic polynomial is

p(x) = x²- (sum)x + product

= x² - 9x + 20 ..

$..$

Answer 2

Answer:

for sum of zeros

$\alpha + \beta = - b \div a \\ \alpha + \beta = - 4 \div 1 \\ \alpha + \beta = - 4 \\ product \: of \: zeros \: \\ \alpha \times \beta = c \div a \\ \alpha \times \beta = 5 \div 1 \\ \alpha \times \beta = 5 \\ now \:we \: should \: convert \: it \: into$

now. we should convert it into

the general form

• ax^2 +bx+c=0

1x^2-4x+5=0 is the quadratic polynomial of the zeros of 4,5