If f x x3+ax+b is divisible by x2+x-2 then

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August undefined, 2024

WebSolution We are given f(x) = x3 + x2 − ax + b is exactly divisible by x2 − x then the remainder should be zero Therefore Quotient = x+2 and Remainder = x ( 2 - a) + b Now, Remainder = 0 x ( 2 - a) + b = 0 x ( 2 - a) + b = 0 x + 0 Equating coefficient of x, we get `2 - a = 0 ` 2 = a Equating constant term b = 0 Web27 jun. 2024 · a=-6 f(x)=x^3+3x^2+ax+b f(2)=2^3+3*2^2+2a+b=R_1 R_1=2a+b+20 f(-1)= (-1)^3+3*(-1)^2-a+b=R_2 R_2=-a+b+2 R_1=R_2 2a+b+20=-a+b+2 3a=-18 a=-6. ... = #x^3 …

If f (x) = x^3 + x^2 - ax + b is divisible by x^2 - x write the …

WebThis is the Solution of Question From RD SHARMA book of CLASS 9 CHAPTER POLYNOMIALS This Question is also available in R S AGGARWAL book of CLASS 9 … Web19 jun. 2024 · If f (x) = x³ + px + q is divisible by x² + x - 2 then the remainder when f (x) is divided by x + 1 is: (A) 4 (B) 3 (C)-4 (D) 1 Advertisement Expert-Verified Answer 19 people found it helpful ashishks1912 GIVEN : The polynomial is divisible by TO FIND : The remainder when the polynomial f (x) is divided by x + 1 SOLUTION : hoverman lab

If the polynomial ax3 +bx2 c is divisible by x2 + bx +c then ab ...

WebDivide the first polynomial by the second, and you'll get a remainder as a first-degree polynomial p ( x) , with coefficients f ( a, b) and g ( a, b). Then, since you want the first polynomial to be divisible by the second, you want the remainder to be zero, so solve the system of equations f ( a, b) = 0, g ( a, b) = 0. Share WebIf x 3 + ax 2 − bx+ 10 is divisible by x 2 − 3x + 2, find the values of a and b. Solution Let and be the given polynomials. We have, Here, and are the factors of g (x), Now, By … WebFactor f(x)=x^3+2x^2-x-2. Step 1. Factor out the greatest common factor from each group. Tap for more steps... Step 1.1. Group the first two terms and the last two terms. Step 1.2. Factor out the greatest common factor (GCF) from each group. Step 2. Factor the polynomial by factoring out the greatest common factor, . Step 3. Rewrite as . how many grams in a pint liquid

When ax3 +x2 -2x +b is divided by x+1, the remainder is 10

If f(x) = x³ + px + q is divisible by x² + x - 2 then the remainder ...

WebIf `(x^(3)+ax^(2)+bx+6)` has (x -2) as a factor and leaves a remainder 3 when divided by ( x-3) , find the values of a and b . WebAnswer (1 of 2): I will solve this without just directly quoting and applying the Factor Theorem and the Remainder Theorem. I will simply use the logic behind them! hovermatt weight capacityWeb3 jan. 2024 · If `(x^(3)+ax^(2)+bx+6)` has (x -2) as a factor and leaves a remainder 3 when divided by ( x-3) , find the values of a and b . If `(x^(3)+ax^(2)+bx+6)` has (x -2) as a... hover means in html

"Web19 mrt. 2024 · If a polynomial is divided by (ax - b), then remainder will be after substituting the value of [ax - b = 0 ⇒ ax = b ⇒ x = (b/a)] in given polynomial. Calculation: Divisor = x … " - If f x x3+ax+b is divisible by x2+x-2 then

If f x x3+ax+b is divisible by x2+x-2 then

If f (x) = x^3 + x^2 - ax + b is divisible by x^2 - x write the value ...

WebSolution. We are given f(x) = x3 + x2 − ax + b is exactly divisible by x2 − x then the remainder should be zero. Therefore Quotient = x+2 and. Remainder = x ( 2 - a) + b. … WebSolve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.

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Web12 feb. 2024 · If x3 + ax2 + bx + 6 has (x – 2) as a factor and leaves a remainder 3 when divided by (x – 3),find the values of a and b. Web24 okt. 2024 · 2. Given that two of the zeroes of the cubic poly-nomial ax 3 + bx² + cx + d are 0, the third zero is. Answer. 3. If one of the zeroes of the quadratic polynomial (k – 1) x² + kx + 1 is – 3, then the value of k is. Answer. 4. A quadratic polynomial, whose zeroes are -3 and 4, is. (a) x²- x + 12.

WebIf the polynomial ax3 +bx2 c is divisible by x2 + bx +c then ab =? Get the answer to this question and access a vast question bank that is tailored for students. Login. ... + x B (x … Web6 nov. 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site

Web19 mrt. 2024 · If a polynomial is divided by (ax - b), then remainder will be after substituting the value of [ax - b = 0 ⇒ ax = b ⇒ x = (b/a)] in given polynomial. Calculation: Divisor = x 2 - 3x + 2 Now we calculate the factor of x 2 - 3x + 2 Then, x 2 - 3x + 2 = 0 ⇒ x 2 - 2x - x + 2 = 0 ⇒ x (x - 2) - 1 (x - 2) = 0 ⇒ (x - 2) (x - 1) = 0 Web12 sep. 2024 · The question concerning the relation between the critical points (when they are present) for a cubic polynomial f ( x) = a x 3 + b x 2 + c x + d and its point of inflection has already been resolved by Z Ahmed. It may be of interest to consider why such a simple relation holds true.

Webgiven that one of the zeros of to quadratical polynomial ax2 bx+c

WebIf x 3 + ax 2 − bx+ 10 is divisible by x 2 − 3x + 2, find the values of a and b Advertisement Remove all ads Solution Let f (x)= x 3 + ax 2 − bx+ 10 and g ( x) = x 2 - 3 x + 2 be the given polynomials. We have, g ( x) = x 2 - 3 x + 2 = x 2 - 2 x - x + 2 = ( x - 2) ( x - 1) Here, (x-2)and (x-1) are the factors of g(x), Now, By factor theorem, hover means computerWebFind the values of a and b so that the polynomial (x3−10x2ax+b) is exactly divisible by (x -1) as well as (x -2). Solution Let: f(x) =x3−10x2+ax+b Now, x-1=0 ⇒x=1 By the factor theorem, we can say: f (x) will be exactly divisible by (x-1) if f (1)=0. Thus, we have: f(1) =13−10×12+a×1+b = 1−10+a+b = −9+a+b ∴ f (1)=0 ⇒a+b=9 ... (1) Also, x-2=0 ⇒x=2 how many grams in a pint of bloodWebFind the general solution of the pde (y-zx)p+ (x+yz)=x^2+y^2 Expert's answer Given, (y-xz)p+ (x+yz)q = x^ {2}+y^ {2} (y−xz)p+(x +yz)q = x2 +y2. This equation is of the form Pp+Qq=R Pp+Qq = R (Lagrange's linear partial differential equation). Here, P = y-xz, Q= (x+yz), R = x^ {2}+y^ {2} P = y −xz,Q = (x +yz),R = x2 +y2. hover measurements contact