Maths

Given that the zeroes of the cubic polynomial x^3 – 6x^2 + 3x + 10 are of the form a, a + b, a + 2b for some real numbers a and b, find the values of a and b as well as the zeroes of the given polynomial. a + 2b for some real [...]

For each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials by factorisation. (iv) (-3/(2√5)), -½ -½ find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials [...]

For each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials by factorisation. (iii) -2√3, -9 9 find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials [...]

For each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials by factorisation. (ii) 21/8, 5/16 5/16 find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials [...]

For each of the following, find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials by factorisation. (i) (–8/3), 4/3 –4/3 find a quadratic polynomial whose sum and product respectively of the zeroes are as given. Also find the zeroes of these polynomials [...]

Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 7y^2 – 11/3y – 2/3 Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 7y^2 – 11/3y – [...]

Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: y^2 + 3/2√5y – 5 Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: y^2 + 3/2√5y – [...]

Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: v^2 + 4√3v – 15 Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: v^2 + 4√3v – [...]

Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 2s^2 – (1 + 2√2)s + √2 Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 2s^2 – [...]

Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 4x^2 + 5√2x – 3 Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials: 4x^2 + 5√2x – [...]