Given, √2 is one of the zero of the cubic polynomial. Then, at that point, (x-√2) is one of the factor of the given polynomial \[p\left( x \right)\text{ }=\text{ }6x{}^\text{3}+\surd...
Exercise 2.4
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Given that the zeroes of the cubic polynomial x3 – 6×2 + 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.
Considering that \[a,\text{ }a+b,\text{ }a+2b\] are foundations of given polynomial \[x{}^\text{3}-6x{}^\text{2}+3x+10\] Amount of the roots ⇒ \[a+2b+a+a+b\] = - coefficient of x²/coefficient of x³...
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 (iv) (-3/(2√5)), -½ (iii) Sum of the zeroes = – 2√3 Result of the zeroes = – 9 P(x) = x2 – (amount of the zeroes) + (result of the zeroes) Then, at that point, \[P\left( x...
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 (ii) 21/8, 5/16 (I) Sum of the zeroes = – 8/3 Result of the zeroes = 4/3 P(x) = x2 – (amount of the zeroes) + (result of the zeroes) Then, at that point, \[P\left( x \right)=\text{...