WebThe zeroes of the polynomial f(x) = x3 - 12x2 + 39x - 28, if it is given that the zeroes are in A.P. are Q6. Which number should be added to 2x3 - 3x2 + x so that when the resulting polynomial is divided by x - 2, the remainder is 3 ? WebSolution Verified by Toppr Correct option is B) Given, 2x 3+mx 2−13x+n=0 As 2 is root then substituting x=2, we get 2.2 3+m.2 2−13.2+n=0 ⇒16+4m−26+n=0 ⇒4m+n=10 ... (1) And as 3 is root, then substituting x=3, we get 2.3 3+m.3 2−13.3+n=0 ⇒54+9m−39+n=0 ⇒9m+n=−15 ... (2) Solving (1) and (2), we get m=−5,n=30 Hence, option 'B' is correct.

If x=2 and x=0 are zeroes of the polynomial 2x3 5 x2 ax+b then …

WebIf 2 and 0 are the zeroes of the polynomial fx =2x3 5x2+ax+b If 2 and 0 are the zeros of the polynomial fx =2 x 3 5 x 2+ ax + b then find the values of a and b. Hint f2=0 and f0=0. WebIf x=2 and x=0 are root of polynomial f(x)=2x 3−5x 2+ax+b. Find the value of a and b. Medium Solution Verified by Toppr Let, f(x)=2x 3−5x 2+ax+b Since x=2 is a root of f(x). ∴f(2)=0 ⇒16−20+2a+b=0 ⇒2a+b=4 ............ (1) Also x=0 is a root of f(x) ∴f(0)=0 ⇒b=0 ............. (2) Using (2) in equation (1) we get, a= 24 =2 ∴a=2 and b=0. is better discord a bitcoin miner

Finding zeros of polynomials (2 of 2) (video) Khan Academy

WebStart by inserting a middle term of 0x. This doesn't change the binomial, it just makes it clearer as to what we need to try and create. x^2 + 0x + 9. We need to find 2 numbers that multiply and = 9, but also add to 0. The possible factors of 9 are: 1 and 9; or 3 and 3. Neither pair will add to 0. Hope this helps. WebIf the Zeros of the Polynomial F(X) = 2x3 − 15x2 + 37x − 30 Are in A.P., Find Them. - Mathematics WebFind integral zeroes of 2x^3+5x^2-5x-2. Answers (1) The factors we get is One zero of the polynomial is, On solving the other polynomial,,Which is an irrational number Hence the internal zero of the polynomial is only one eg.,x=1. … is better doctor legitimate