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If ax 3+bx 2+x-6 has x+2 as a factor

WebIf ax 3 + 3x 2 + bx – 3 has a factor (2x + 3) and leaves remainder – 3 when divided by (x + 2), find the values of a and b. With these values of a and b, factorise the given expression. Advertisement Remove all ads Solution Let, p (x) = ax 3 + 3x 2 + bx − 3 g (x) = 2x + 3 = 0 ⇒ x = − 3 2 f (x) = x + 2 = 0 ⇒ x = − 2 Given, g (x) is a factor of f (x) 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. Advertisement Remove all ads Solution Let f (x) = x 3 + ax 2 + bx + 6 ∴ x - 2 = 0 ⇒ x = 2 (2) 3 + a (2) 2 + b (2) + 6 = 0 8 + 4a + 2b + 6 = 0 4a + 2b + 14 = 0 2 (2a + b + 7) = 0 2a + b + 7 = 0 2 2a + b + 7 = 0 2a + b = - 7 ...

How to Solve Cubic Equation : ax³+ bx²+ cx+d= 0? - Medium

Web6 okt. 2024 · The middle and last term are both positive; therefore, the factors of 2 are chosen as positive numbers. In this case, the only choice is in which grouping to place these factors. (x + 1)(3x + 2) or (x + 2)(3x + 1) Determine which grouping is correct by multiplying each expression. WebHere, if x+2 is the factor of x²+ax-2b=0 (say) then x+2=0 or,x= (-2) & put x= (-2) in equation. We get, 4–2a-2b=0 or, a+b=2 but in your question another equation is a+b= … eugene or monthly weather https://multiagro.org

IX Polynomials If ax^3 + bx^2 -5x + 2 has x + 2 as a factor and …

Webf(x)=2x 3+ax 2+bx−6(x−1) is a factor∴f(1)=0⇒2+a+b=6⇒a+b=4→1and f(x) leaves remainder 2 on being divided by (x−2)∴f(2)=2⇒2×2 3+a×2 … Web21 jul. 2024 · According to the factor theorem, (x-2) will be a factor of the polynomial if 2 is the root of this equation. The polynomial can be expressed as - p (x) = (x - a)q (x) + r as a result (x) The polynomial reduces to p (x) = (x - a)q because the remainder is zero (x) Factoring ax3 + bx2 + cx + d Web20 uur geleden · Each answer shows how to Kinematic equations relate the variables of motion to one another. 7v = 2 v – 20 7. 3x−4 8 = x+2 3. Answer The ... Quadratic Equations by Factoring Solve each equation by factoring. Apr 01, 2016 · Practice Lesson 6. the steps to solve each ... a Love x 2½ =-3 1 5 y = 7 1 3 m =-4 3 5 x = 6 2 3 y = 10 When ... firma ferguson

How to Solve Cubic Equation : ax³+ bx²+ cx+d= 0? - Medium

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If ax 3+bx 2+x-6 has x+2 as a factor

if ax3+bx2+x-6 has x+2 as factor and leaves the …

Web2 jul. 2024 · Step-by-step explanation: Let f (x) = ax3 + bx2 - 5x + 2 Since x+2 is a factor of f (x), f (-2) = 0 So, -8a + 4b + 12 = 0 Since the remainder is 12 when f (x) is divided by x … Web3 jan. 2024 · If `(ax^(3)+bx^(2)-5x+2)` has ` (x+2)` as a factor and leaves a remainder 12 when divided by ( x-2) , find the values of a and b . AboutPressCopyrightContact...

If ax 3+bx 2+x-6 has x+2 as a factor

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WebSolution To prove :- a + b = 6 Given that, when p (x) = x^3 - ax^2 + bx + 3 leaves the remainder (-19), when divided by the (x + 2). Therefore, by applying the remainder theorem, p (-2) should be equal to -19. So, p (-2) = x^3 - ax^2 + bx + 3 = (-19) => (-2)^3 - a (-2)^2 + b (-2) + 3 = (-19) => - 8 - 4a - 2b + 3 = (-19) => - 4a - 2b - 5 = (-19) WebIf (x + 2) is a factor of p(x) = ax3 + bx2 + x − 6 and p(x) when divided by (x − 2) leaves a remainder 4, prove that a = 0 and b = 2. Q. If (x+2) is a factor of p(x)=ax 3 +bx 2 +x-6 …

WebIf ax^3 bx^2 x - 6 has x 2 as a factor & leaves a remainder '4' when divided by (x - 2). Find the values of a & b.? for Class 9 2024 is part of Class 9 preparation. The Question and … WebThe polynomial ax 3+bx 2+x−6 has (x+2) as a factor and leaves a remainder 4 when divided by (x−2). Find a and b. This question has multiple correct options A a=0 B b=2 C a=2 D b=0 Medium Solution Verified by Toppr Correct options are A) and B) Let p(x)=ax …

Web10 apr. 2024 · Let f (x) = ax 3 + bx 2 - 5x + 2 Since x+2 is a factor of f (x), f (-2) = 0 So, -8a + 4b + 12 = 0 Since the remainder is 12 when f (x) is divided by x-2, f (2) = 12 So, 8a + 4b - 8 = 12 We have the system of equations: -8a + 4b = -12 8a + 4b = 20 Add the equations to obtain 8b = 8 b = 1 Since b = 1 and 8a + 4b = 20, 8a + 4 = 20 8a = 16 a = 2 Web12 nov. 2024 · You can see the equation is not written in standard form, you need to multiply the ‘x’ to eliminate the fraction and get cubic equation, after doing so, you will end up with x3+ 4x2– x = 6...

WebIf (ax^3+bx^2-5x+2) has (x+2) as a factor and leaves a remainder 12 when divided by ( x-2), find the values of a and b.Question on class IXClass 9 Polynomial...

WebIf ax3+ bx + x 6 has (x + 2) as a factor and leaves remainder 4, when divided by (x 2). Then find the values of a and b. 16. If the polynomial p(x) = 2x3+ bx2+ 3x -5 and q(x) = x + x2 4x b leaves the same remainder , when divided by x 2, then prove that b =. Downloaded from www.studiestoday.com Downloaded from www.studiestoday.com firm affidavitWebI am studying Computer Graphics and need to design an incremental algorithm for solving the polynomial y = a x 3 + b x 2 + c x + d, and then implement that in OpenGL. The input will be the values of a, b, c, d and the desired output is a line/curve to be drawn. The values of x would be in the range 1 ≤ x ≤ 100. eugene ormandy rachmaninoffWebIf ax^2+ax^2+bx^2+x-6 has x+2 as a factor and leaves remainder 4 when divided by x-2, find a and b. eugene or obituaries this weekWebIf ax^3+bx^2+x-6 has (x+2) as a factor and leaves a remainder 4 when divided by (x-2),find the value of 'a' and 'b'. ANSWER a=0 b=2? View answer If polynomials 2x^3 ax^2 3x-5 and x^3 x^2-4x 5 leaves the same remainder when divided by x … eugene or newspaper obituariesWebOne type of polynomial that is always prime is a polynomial of first degree, ax+b, for which the only common factors of a and b are ± 1. For example, 3 x+4 is prime since 3 and 4 have only ± 1 as common factors, while 4 x+6 is not prime since 2 is a common factor of 4 and 6. In fact, 4 x+6=2 (2 x+3). firma fill lehreWeb7 apr. 2024 · ‰HDF ÿÿÿÿÿÿÿÿ8ê ÿÿÿÿÿÿÿÿ`OHDR k" " ÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿÿ ×"i# # datazJ y¹R x"T ' fixedgrid_projection‹U•! iƒ ... firm affirmationWebQ: The polynomial 2x^3 + ax^2 - 10x + b has a factor of ( x-1 ) and has a remainder of 15 when divided… A: Click to see the answer Q: Find the four zeros of the polynomial z4 + 4 , one of them being z0 = √2eiπ/4 = 1 + i . eugene ormandy topic