The number of polynomials of the form \( x^{3}+a x^{2}+b x+c \) which are divisible by \( x^{2}+...

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Find the number of polynomials of the form `x^3+a x^2+b x+c` that are divisible by `x^2+1,w h e... Find the number of polynomials of the form `x^3+a x^2+b x+c` that are divisible by `x^2+1,w h e...
Polynomial Example: Problem involving Factor Theorem and Remainder Theorem Polynomial Example: Problem involving Factor Theorem and Remainder Theorem
Find Constants with given remainders ax^3 + 3x^2 - 2x - b divided by (x - 2) and (x + 1) Find Constants with given remainders ax^3 + 3x^2 - 2x - b divided by (x - 2) and (x + 1)
Find value of a and b so that polynomial x³ + 10x² + ax + b is exactly divisible by (x-1) and (x-2) Find value of a and b so that polynomial x³ + 10x² + ax + b is exactly divisible by (x-1) and (x-2)
If x3 + ax2 + bx + 6 has (x – 2) as a factor and leaves a remainder 3 when divided by (x – 3), find If x3 + ax2 + bx + 6 has (x – 2) as a factor and leaves a remainder 3 when divided by (x – 3), find
15. If x³+x²-ax+b is divisible by (x²-x), wite the value of a and b. 15. If x³+x²-ax+b is divisible by (x²-x), wite the value of a and b.
If x^3+a x^2-b x+10\nis divisible by x^2-3x+2,\nfind the values of a\nand b\n. | 9 | FACTORIZATI... If x^3+a x^2-b x+10\nis divisible by x^2-3x+2,\nfind the values of a\nand b\n. | 9 | FACTORIZATI...
Find the value of a\nand b\nso that the polynomial x^3-a x^2-13 x+b\nhas (x-1)\nand (x+3)\nas fa... Find the value of a\nand b\nso that the polynomial x^3-a x^2-13 x+b\nhas (x-1)\nand (x+3)\nas fa...