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Hits: 25 Question Find the quotient and the remainder when is divided by . Solution Quotient; Remainder; 6
Hits: 46 Question The polynomial is defined by where is a constant. It is given that is a factor of i. Use the factor theorem to find the value of . ii. Factorise p(x) and hence show that the equation p(x) = 0 has only one real root. iii. Use […]
Hits: 91 Question The polynomial is defined by where is a constant. i. Use the factor theorem to show that (x +1) is a factor of p(x) for all values of a. ii. Given that the remainder is −42 when p(x) is divided by (x −2), find the value of a. iii. […]
Hits: 51 Question The polynomial is defined by where and are constants. It is given that is a factor of . It is also given that the remainder is 18 when is divided by . i. Find the values of a and b. ii. When a and b have these values […]
Hits: 88 Question i. Find the quotient and remainder when is divided by . ii. Hence find the values of the constants p and q such that x2 − 2x + 5 is a factor of 2×3 − 7×2 + px + q. Solution i. Hence quotient is and […]
Hits: 178 Question i. Find the quotient and remainder when is divided by . ii. Hence find the values of the constants p and q such that x2 − 2x + 5 is a factor of 2×3 − 7×2 + px + q. Solution i. Hence quotient is and […]
Hits: 191 Question The polynomial is defined by i. Find the quotient when is divided by , and show that the remainder is 5. ii. Hence factorise completly. Solution i. Hence quotient is and remainder is . ii. We are required to factorise; When a polynomial, […]