Hits: 85
Hits: 85 Question i. Use the factor theorem to show that (2x+3) is a factor of ii. Show that the equation can be expressed as iii. Solve the equation For . Solution i. We are given that; We are also given that is a factor of . When a polynomial, […]
Hits: 58 Question The diagram shows the curve with equation . The curve crosses the x-axis at points with coordinates and . i. Use the factor theorem to show that (x +2) is a factor of ii. Show that satisfies an equation of the form , and state the values of p and […]
Hits: 46 Question The diagram shows the curve with equation . The curve crosses the x-axis at points with coordinates and . i. Use the factor theorem to show that (x +2) is a factor of ii. Show that satisfies an equation of the form , and state the values of p […]
Hits: 45 Question i. Find the quotient when is divided by , and show that the remainder is 1. ii. Show that the equation has no real root. Solution i. Hence quotient is and remainder is . ii. We are required to show that following equation […]
Hits: 134 Question i. Find the quotient when is divided by , and show that the remainder is 1. ii. Show that the equation has no real root. Solution i. Hence quotient is and remainder is . ii. We are required to show that following equation has no real […]
Hits: 125 Question The cubic 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 and hence factorise f(x) completely. ii. Hence, without using a calculator, solve the equation f(2x) = 3f(x). Solution i. We […]
Hits: 76 Question The polynomial p(x) is defined by i. Use the factor theorem to show that (x+3) is a factor of p(x). ii. Factorise p(x) completely. iii. Hence, given that find the value of 2u and, using logarithms, find the value of u correct to 3 significant figures. Solution i. […]