WebbThe polynomials P (x) = a x 3 + 3 x 2 − 1 3 and g (x) = 2 x 3 − 4 x + a are divided by (x − 3). If the remainder in each case is the same, find the value of a. WebbFind the cubic polynomial with the sum, of the products of its zeroes taken two at a time and the product of its zeroes as 2, –7, –14 respectively. Sol. Let the required cubic polynomial be ax 3 + bx 2 + cx + d and its zeroes be α, β and γ. Since, ∴The required cubic polynomial. = 1x 3 + (–2)x 2 + (–7)x + 14.

polynomials - $ax^3+8x^2+bx+6$ is exactly divisible by $x^2-2x-3$, …

WebbThe polynomials `P (x)=kx^ (3)+3x^2-3and Q (x)=2x^ (3)-5x+k,` when divided by ` (x-4)` leave the same remainder. The value of k is Gk General knowledge Important gk … WebbThe polynomials p (x) = ax3 + 3x2 - 3 and q (x) = 2x3 - 5x + a when divided leave the remainders R1 and R2. Find 'a' if R. + R2 = 0. Factorise the polynomial. when divided by (x … phosphopantetheine binding acp domain

The polynomials ax^3 + 3x^2 - 3 and 2x^3 - 5x - Toppr Ask

WebbDivide 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 WebbSAT R© /ACT R© Math And Beyond: Problems Book A Standard High School Working Initial Edition Qishen Huang, Ph.D. This get serves you √ Score highly on SAT/ACT Math section,… Webbx3-5x2+3x+9 Final result : (x + 1) • (x - 3)2 Step by step solution : Step 1 :Equation at the end of step 1 : ( ( (x3) - 5x2) + 3x) + 9 Step 2 :Checking for a perfect cube : 2.1 x3-5x2+3x+9 ... More Items Copied to clipboard Examples Quadratic equation x2 − 4x − 5 = 0 Trigonometry 4sinθ cosθ = 2sinθ Linear equation y = 3x + 4 Arithmetic 699 ∗533 phosphopantetheine-binding protein