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
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