Hits: 43
Hits: 43 Question i. Find the quotient when is divided by , and show that the remainder is 39. ii. Hence, show that the equation has exactly one real root. Solution i. Hence quotient is and remainder is . ii. We are required to factorise; When a polynomial, , […]
Hits: 45 Question The polynomial is defined by where is a constant. It is given that is a factor of i. Use the factor theorem to show that . ii. When ; a. Factorise p(x) completely, b. Solve the equation for . Solution […]
Hits: 53 Question i. Find the quotient and remainder when is divided by . ii. It is given that, when is divided by , the remainder is ZERO. Find the values of the constants and . iii. When and have these values, show that there is exactly one real value of satisfying the […]
Hits: 61 Question i. Given that is a factor of , find the value of the constant . ii. When has this value, factorise completely. Solution i. We are given that; We are also given that is a factor of . When a polynomial, , is divided by , and […]
Hits: 168 Question i. Given that is a factor of , find the value of the constant . ii. When has this value, factorise completely. Solution i. We are given that; We are also given that is a factor of . When a polynomial, , is divided by , and […]
Hits: 165 Question The polynomials f(x) and g(x) are defined by; and where a and b are constants. It is given that (x + 2) is a factor of f(x). It is also given that, when g(x) is divided by (x + 1), the remainder is −18. i. Find the values of a […]