If f x x3+x2-ax+b is divisible by x2-x
WebSolution Verified by Toppr Correct options are A) and B) Let p(x)=ax 3+bx 2+x−6 Since (x+2) is a factor of p (x), then by Factor theorem p(−2)=0 ⇒a(−2) 3+b(−2) 2+(−2)−6=0 ⇒−8a+4b−8=0 ⇒−2a+b=2 ... (i) Also when p (x) is divided by (x-2) the remainder is 4, therefore by Remainder theorem p(2)=4 ⇒a(2) 3+b(2) 2+2−6=4 ⇒8a+4b+2−6=4 … 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+x2-ax+b is divisible by x2-x
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WebAccording to the remainder theorem, when a polynomial p(x) (whose degree is greater than or equal to 1) is divided by a linear polynomial x - a, the remainder is given by r = p(a). i.e., to find the remainder, follow the steps below:. Find the zero of the linear polynomial by setting it to zero. i.e., x - a = 0 ⇒ x = a.; Then just substitute it in the given polynomial. WebIf `X^3+ X^2-ax + B` is Divisible by `(X^2-x)`,Write the Value of a and B. CBSE English Medium Class 10. Question Papers 939. Textbook Solutions 33590. ... Hence, the zeroes of `x^2 – x` will satisfy `x^3 + x2 – ax + b` `∴ (0)^3 + 0^2 – a(0) + b = 0` `⇒ b = 0` And `(1)^3 + 1^2 – a(1) + 0 = 0 [∵b = 0]`
Web26 okt. 2024 · If x 3 + 2x 2 - ax - b is exactly divisible by (x 2 - 1), then the values of a and b are: If x. 3. + 2x. 2. - ax - b is exactly divisible by (x. 2. - 1), then the values of a and b … WebAnswer in Brief If 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,
Web31 mrt. 2024 · Thus, we find that the values of a and b so that ${{x}^{4}}+{{x}^{3}}+8{{x}^{2}}+ax+b$ becomes divisible by ${{x}^{2}}+1$ is a=1 and b=7 which is the required answer to the given question. Note: We should note that even though the expression has a term with fourth power of x, therefore, we should not think that we … WebIf f(x) = x3 + x2 − ax + b is divisible by x2 − x write the value of a and b. Q. If the polynomial f ( x ) = x 2 + x 3 + 8 x 2 + a x + b is exactly by x 2 + 1 then find the values of …
Web14 jul. 2024 · X³ + x² -ax + b is divisible by x² - x or x(x -1) it means x and (x -1) are the factors of x³ + x² -ax + b . hence,. 0 and 1 are the zeros of x³ + x² -ax + b. put x = 0 (0)³ + …
WebIf X3 + Ax2 − Bx+ 10 is Divisible by X2 − 3x + 2, Find the Values of a and B. - Mathematics Shaalaa.com. CBSE English Medium Class 9. Textbook Solutions 13776. Important … china king restaurant king of prussiachina king restaurant north fort myers flWebx2-2x-3 Final result : (x + 1) • (x - 3) Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2-2x-3 The first term is, x2 its coefficient is ... 2x2-2x-3 Final result : 2x2 - 2x - 3 Step by step solution : Step 1 :Equation at the end of step 1 : (2x2 - 2x) - 3 Step 2 :Trying to factor by splitting the ... graham wheelockWebThe polynomial px=x4 2 x3+3 x2 a x+b when divided by x 1 and x+1 leaves the remainders 5 and 19 respectively. Find the values of a and b. Hence, find the remainder when px is divided by x 2. Login. Study Materials. NCERT Solutions. NCERT Solutions For Class 12. ... = x4 − 2x3 + 3x2 − ax + b when divided by (x − 1) and (x + 1) leaves the ... china king restaurant port washington wiWebIf 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 factor theorem, and Subtracting (ii) by (i), we get, 2 a - b - a - b = - 9 - - 11 a = 2 Putting this value in equation (ii), we get, china king restaurant narberth paWeb21 mrt. 2024 · Find the value of a and b so that x4+x3+8x2+ax+b is divisible by (x2+1).Maths Class-10 Chapter - 2 Polynomials Extra Question from Rd Sharma and Ncert Exempl... graham whelan the wigWeb26 okt. 2024 · If x 3 + 2x 2 - ax - b is exactly divisible by (x 2 - 1), then the values of a and b are: This question was previously asked in SSC CHSL Previous Paper 112 (Held On: 26 Oct 2024 Shift 2) Attempt Online View all SSC CHSL Papers > a = -1 and b = 2 a = 1 and b = - 2 a = 1 and b = 2 a = 2 and b = 2 Answer (Detailed Solution Below) china king restaurant saint charles