Math, asked by priya5252, 1 year ago

1.What must be subtracted from p(x)=8x^4+14x^3-2x^2+8x-12 so that 4x^2+3x-2 is a factor of p(x).
2. If alpha and beta are the zeroes of polynomial 2x^2-4x+5 .Find the value of alpha^2 + beta^2.

Answers

Answered by raahul072
3
hey dude ...
just I can give u hint fr..solving it....!!

1). look at frst we hv given the p(x).so just divide the p(x) by g(x)= 4x²+3x-2
by log division method......!
the quotient u will got after dividing it will be subtracted frm p(x) will give g(x).
.....
2). sory this one I don't know....

thanks.....!

priya5252: please
raahul072: ok !ook ...!
raahul072: here is given polynomial 2x²-4x+5...so given zeroes are....alpha and beta.
raahul072: we know that alpha + beta = -b/a
raahul072: so , -b/a =4/2 =2
raahul072: alpha + beta = 2. ...... ..... ... taking sq on botyh side
raahul072: (alpha +beta )² = 4 ......::: alpha²+beta²+alpha*beta = 4
raahul072: we know that alpha * beta = c/a= 5 /2.
raahul072: so, alpha²+beta²= 4 - 5/2..
raahul072: alpha² + beta² = 3/2.
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