Math, asked by dishan8055, 11 months ago

if alpha and beta are zeros of the quadratic polynomial 4x^2 + 4 x + 1 then form a quadratic polynomial whose zeros are 2 alpha and 2 Beta​

Answers

Answered by Anonymous
0

Hey,

f(x) = 4x {}^{2}  + 4x + 1 \\  \\  \alpha  \: and \:  \beta  \: are \: the \: zeros \: of \: given \: polynomial \\  \\   \alpha  +  \beta  = 1 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \alpha  \beta  =  \frac{1}{4}  \\  \\  \\ now \\  \\ 2 \alpha  + 2 \beta  = 2( \alpha  +  \beta ) = 2 \times 1 = 2 \\  \\ (2 \alpha )(2 \beta ) = 4 \alpha  \beta  = 4 \times   \frac{1}{4}  = 1 \\  \\  \\  \\ the \: polynomial \: would \: be \: x {}^{2} - 2x + 1

I hope it helps you!!!

Answered by babushall
0
answer is in the attachment....

plz mark it as brainliest answer if it helps you....
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