Question

Write the polynomial where zeroes are -1 and 2

Answer 1

Answer:

Let the two zeroes be a and b

a = -1 and b = 2

so, p(x) = x^2 + (a+b)x + ab

so required polynomial is => x^2 + x -2

Answer 2

Answer:

THE FORMULA TO FIND POLYNOMIAL WHEN TWO ZEROES ARE GIVEN

k[X SQUARE –(ALPHA + BETA) X +(ALPHA X BETA)]

Step-by-step explanation:

THEREFORE,

ALPHA = –1,

BETA = 2

THEN,

ALPHA + BETA = –1+2 = 1

ALPHA X BETA = (–1) X (2)

= –2

THEREFORE,

K [X SQUARE — ( ALPHA + BETA) X (ALPHA X BETA )]

K [X SQUARE – ( –1) X + (–2)]

K[X SQUARE + 1 X – 2]

WHEN THERE IS NO DENOMINATOR IN THE GIVEN ZEROES

THEN, THE K VALUE BECOMES

1

THEREFORE,

X SQUARE + 1 X – 2

IS THE REQUIRED POLYNOMIAL