If the polynomials ax3+4x2+3x
Webif the polynomials ax^3+4x^3+3x-4 and x^3-4x+a leave the same remainder when divided by (x-3) , find the value of a. Answers (1) solution: Let and be the given polynomials . WebP1: FXS/ABE P2: FXS 0521842344c04.xml CUAU030-EVANS August 26, 2008 5:20 130 Essential Mathematical Methods3&4CAS If x3 +3x2 +3x +8 = ax3 +3ax2 +3ax +a +b for all x ∈ R, equating coefficients gives: (coefficient of x3)1= a (coefficient of x2)3= 3a (coefficient of x)3= 3a (coefficient of x0, the constant term of the polynomial) 8 = a +b …
If the polynomials ax3+4x2+3x
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Web1) If a polynomial p (y) is divided by y + 2, then which of the following can be the remainder: a) y + 1 b) 2y+3 c) 5 d) Y - 1 2) If a polynomial p (x) is divided by b - ax ; the remainder is the value of p (x) at x = a) a b) b/a c) -b/a d) a/b 3) If the polynomial ax3 + 4x2 + 3x - 4 and x3 - 4x + a, leave the same remainder when divided by …
WebIf the polynomials ax3 + 4x2 + 3x - 4 and x3 - 4x + a leave the same remainder when divided by (x - 3),find the value of a. 22. what is the remainder when P (x)=x3+5x is … Web18 nov. 2024 · Given, α, β and γ are the zeros/roots of the polynomial f(x) = ax3 + bx2 + cx + d, As we know, a cubic polynomial can be written in terms of i. Get Started. Exams. SSC Exams. Banking Exams. Teaching Exams. ... is a multiple of 3 then 4x2 + 7xy - 2y2 is divisible by. Crack SSC + Banking + LIC Combo with. India's Super Teachers ...
Web1) If one of the zeroes of the quadratic polynomial (k–1) x2 + k x + 1 is –3, then the value of k is a) 4/3 b) -4/3 c) 2/3 d) -2/3 2) If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then a) a = –7, b = –1 b) a = 5, b = –1 c) ) a = 2, b = – 6 d) a = 0, b = – 6 3) If one of the zeroes of a quadratic polynomial of the form … WebThe polynomials ax 3 - 3x 2 + 4 and 2x 3 - 5x + a when divided by (x - 2) leave the remainders p and q respectively. If p - 2q = 4, find the value of a. Let f(x) = ax 3 - 3x 2 + 4
WebIf the polynomials ax3+4x2+3x-4 and x3-4x+a leave the same remainder when divided by (x-3), find the value of a. 14. For What value of a is (x-5) a factor of x 3-3x2+ax-10? 15. Find the value of k if x-3 is a factor of k 2x3-kx2+3kx-k. 16. Factorize x3 +13x2+32x+20, if it is given that x+2 is its factor.
WebThe polynomial remainder theorem states that if you take a polynomial function "f (x)" and divide it by "x-a", then the remainder will be equal to "f (a)". In this case, he was dividing by "x-5," so "a" was equal to 5. Therefore, in order to solve it, he had to plug in "a" for "x" to solve "f (a)". I hope this helps. 6 comments ( 43 votes) bus from state college to pittsburghWebSum The polynomials ax 3 + 3x 2 – 3 and 2x 3 – 5x + a, when divided by x – 4, leave the same remainder in each case. Find the value of a. Advertisement Remove all ads … handelsbanken london head officeWebpolynomial function in standard form with zeros calculator a is a number whose absolute value is a decimal number greater than or equal to 1, and less than 10: 1 ... bus from state college to new jerseyWeb13. polynomials ax³+ 4x² + 3x - 4 and x³- 4x + a leave the same remainder when divided by (x - 3), find the value of a. 14. the number when divided by a divisor leaves a remainder of 24.When twice the original number is divided by the same divisor, the remainder is 11.What is the value of the divisor 15. bus from staten island to bayonneWebThe highest exponent of a term is 6. So this polynomial is of degree 6. 5y3 is a monomial of degree 3. 4x2 y3 z2 is a monomial of degree 2 + 3 + 2 = 7. 5 x3 y3 is a monomial of ... A polynomial of degree two is called a quadratic polynomial. ? Example x2 + 3x + 5, x2 – 5x + 12 are ... (2x – 2)(3x + 3) = ax3 + bx2 + cx + d, then what are ... handelsbanken plc company numberWeb23 mrt. 2024 · Transcript. Ex 2.4, 3 If the zeroes of the polynomial x3 – 3x2 + x + 1 are a – b, a, a + b, find a and b. For a cubic Polynomial p (x) = ax3 + bx2 + cx + d With zeroes α, 𝛽 and γ We have 𝛂 + 𝛽 + 𝛄 = (−𝒃)/𝒂 𝛂"𝛽" + 𝛽𝛄 + 𝛄𝛂 = 𝒄/𝒂 𝛂"𝛽" 𝛄= (−𝒅)/𝒂 Now, p (x) = x3 − 3x2 + x + 1 ... handelsbanken usa ind crit a1WebThe polynomials ax3+4x2+3x−4 and x3−4x+a leave the same remainder when divided by (x−3). Find the value of a. Solution Given polynomials: p(x) =ax3+4x2+3x−4 q(x) =x3−4x+a Using remainder theorem, the remainders when p(x) and q(x) are divided by (x−3) are p(3) and q(3) respectively. p(3) =a×(3)3+4×(3)2+3×3−4 p(3) =27a+41 q(3) =(3)3−4×3+a q(3) … bus from staten island to bayonne nj