If the zeroes of the polynomial are in ap
WebThe zeros of a polynomial p (x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's … Web26 mei 2011 · Expert Answer The given polynomial is 2x 3 - 15x 2 + 37x - 30. Since the roots of the polynomial are in AP, so let the roots be a - d, a, a + d. Now, using the …
If the zeroes of the polynomial are in ap
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WebCorrect option is A) Let α,β and ψ be the zeros of the polynomial f(x)=x 2−3px 2+qx−r. f(x)=x 2−3px 2+qx−r. =(x−α)(x−β)(x−ψ) =x 2−(α+β+ψ)x 2+(αβ+βψ+ψα)x−αβψ. Equating … WebThe answer is a Non-zero constant polynomial has no zero. Also, every real number is a zero of the Zero Polynomial. Let’s look at the following linear polynomial to understand …
Web12 apr. 2024 · let l , m , n are zeroes of given polynomial. now sum of l+m+n = a product lmn = c product of zeros taken two at time lm+mn+nl = b also it is given that zeros of polynomial are in A. P . then 2m= l+ n from these equations we get a = 3m , b=2m2 + ln. now putting values... read more 0 Comments View 3 more Answers Web31 dec. 2024 · If zeros of the polynomial are in A.P., then (a) (b) (c) (d) None of these Advertisement Expert-Verified Answer 142 people found it helpful nikitasingh79 Answer: Step-by-step explanation: SOLUTION : The correct option is c : qp - r = 2p³ . Let α,β,γ are the three Zeroes of the polynomial. Given : f (x) = x³ - 3px² + qx - r α = a - d , β = a , γ = d
WebFind the zeroes of the polynomial f(x)=x 3−12x 2+39x−28, if it is given that zeroes are in AP. Medium Solution Verified by Toppr f(x)=x 3−12x 2+19x−28 Zeroes are in AP. Let the zeroes be of the form a-d,a,a+d sum of roots = 12 3a=12 a = 4 product of roots =− ad a(a 2−d 2)=(−28) a 3−ad 2=28 (4) 3−4d 2=28 64−4d 2=28 4d 2=36 d=±3 WebFind a quadratic polynomial, the sum and product of whose zeroes are 3 and 31 respec. tively Solution Verified by Toppr Was this answer helpful? 0 0 Similar questions Draw the graphs of 6−x−x 2 and find the zeroes in each case. Medium View solution > x 2−x=30 for which of the following polynomial with roots of zero. Medium View solution > View more
Web29 apr. 2024 · If α and 1/α are the zeroes of the quadratic polynomial 2x2 – x + 8k, then k is a) 4 b) 1/4 c) –1/4 d) 2 Answers: b) 1/4 4. The graph of x2+1 = 0 a) Intersects x‐axis at two distinct points....
Web12 apr. 2024 · Solution For If the zeroes of a quadratic polynomial ax2+bx+c are both negative, then a,b and c all have the same sign. The world’s only live instant tutoring platform. Become ... If the sum of the first n terms of an AP is 4n – n2, what is the first term (that is S1)? What is the sum of first two terms? What is the second ... high credit riskWebSolution Verified by Toppr Given cubic polynomial is p(x)=x 3−6x 2+3x+10 The zeros of the polynomial p(x) are of the form a, a+b and a+2b Then, a+a+b+a+2b=− 1−6 =>3a+3b=6 =>a+b=2 ---------------- (i) Also, a(a+b)+(a+b)(a+2b)+a(a+2b)= 13 =>a 2+ab+a 2+2ab+ab+2b 2+a 2+2ab=3 =>3a 2+2b 2+6ab=3 ---- (ii) and a(a+b)(a+2b)=− 1−10 =>a 3+a 2b+2a … high credit rating car insuranceWebIf the zeroes of the polynomial p(x)=ax3+3bx2+3cx+d are in AP, then 2b3−3abc+a2d is equal to Q. If the equation ax3+3bx2+3cx+d=0 has two equal roots, show that each of … high credit rating meaningWeb16 jul. 2024 · Given: The zeros of the above polynomial are in AP. Implies,the zeros would be of the form p+q, p and p-q. To find the value of a. Recall the polynomial rules for … how fast can reid readWebIf the product of two zeroes of polynomial 2x 3 + 3x 2 – 5x – 6 is 3, then find its third zero. 3. ... If the zeroes of the polynomial f(x) = x 3 – 12x 2 + 39x + a are in AP, find the value of a. 8. A polynomial g(x) of degree zero is added to the polynomial 2x 3 + 5x 2 – 14x + 10 so that it becomes exactly divisible by 2x – 3. how fast can rattlesnakes moveWeb1 sep. 2024 · If zeros of the polynomial f (x) = x 3 – 3px 2 + qx – r are in AP, then (a) 2p 3 = pq – r (b) 2p 3 = pq + r (c) p 3 = pq – r (d) None of these Solution: (a) f (x) = x 3 – 3px 2 + qx – r Here a = 1, b = -3p, c = q, d= -r Zeros are in AP Let the zeros be … high credit score screenshotWebCorrect option is D) Given: sum of zeroes is 3 and product of zeroes is −2 Let the zeroes of the polynomial be α,β According to the question, α+β=3,αβ=−2 We know, α+β=−ab=3 b=−3a ....... (i) And, αβ=ac=−2 c=−2a ....... (ii) Now, the general form of quadratic equation is: ax 2+bx+c=0 From equation (i) and (ii), we get high credit rating good or bad