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Login1. Find the zeroes of polynomial 4t? + 8t.2. Write sum and productof zeroes of polynomial3x? - X - 4.3. Find the zeroes of thepolynomial X? - 3.4. Find the zeroes of thequadratic polynomial x? +5x + 6.5. Write the polynomialwhose zeroes are -5 and 4is :(A) x2 - X + 20(B) x² + X-20(C) x2 - X-20(D) x² + x+ 206. The zeroes of thequadratic polynomial x? +5x + 6 are:(A) One positive and onenegative(B) both equal(C) both negative(D) both positive
Interview Questions Math 1 year ago
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JohkalSA JohkalSA![Tuteehub forum best answer]()
Best Answer
1 year ago
2 −x−4=3x 2 −4X+3x−4=x(3x−4)+1(3x−4)=(3x−4)(x+1).So the zeroes of the polynomial are x= 34and x=−1. f(v)=v2+4√3v-15(xi) p(y)=y2+3√52 y-5(XII) q(y)=7y2-113 y-23 ANSWER:(i) We have,f(x) = x2 − 2x − 8f(x) = x2 + 2x − 4x − 8f(x) = x (x + 2) − 4(x + 2)f(x) = (x + 2) (x − 4)The ZEROS of f(x) are given by f(x) = 0X2 − 2x − 8 = 0(x + 2) (x − 4) = 0x + 2 = 0x = −2Orx − 4 = 0x = 4Thus, the zeros of f(x) = x2 − 2x − 8 are α = −2 and β = 4We have,h(t) = t2 − 15h(t) = (t)2 − (15−−√)2h(t) = (t + 15−−√) (t − 15−−√)The zeros of are given byh(t) = 0(t − 15−−√) (t + 15−−√) = 0(t − 15−−√) = 0t = 15−−√or (t + 15−−√) = 0t = −15−−√Hence, the zeros of h(t) are α = 15−−√ and β = − 15−−√.
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