$CATEGORY: Maths - TicTacLearn/2. Polynomials/2. Polynomials--Relationship between Zeroes and Coefficients of a Polynomial

//Multiple Choice

For the polynomial \(x^2-7x+10\), the sum of zeroes is {
= 7
~ -7
~ 10
~ -10
}

For the polynomial \(x^2-7x+10\), the product of zeroes {
= 10
~ -10
~ 7
~ -7
}

If the sum of zeroes of a quadratic polynomial is 5 and the product is 6, the polynomial is {
= \(x^2-5x+6\)
~ \(x^2+5x+6\)
~ \(x^2+5x-6\)
~ \(x^2-5x-6\)
}

For the polynomial \(2x^2-3x+1\), the sum of the zeroes is {
~ -3/2
= 3/2
~ 1/2
~ -3
}

For the polynomial \(2x^2-3x+1\), the product of the zeroes is {
= 1/2
~ -1
~ -1/2
~ 3/2
}

The sum of zeroes of a polynomial \(3x^2+5x-2\) is {
= -5/3
~ 5/3
~ 2/3
~ -2/3
}

The product of the zeroes of the polynomial \(3x^2+5x-2\) is {
= -2/3
~ 2/3
~ -5/3
~ 5/3
}

For a polynomial \(x^2-6x+9\), the sum and product of the zeroes are {
= 6 and 9
~ -6 and 9
~ 6 and -9
~ -6 and -9
}

If the sum of zeroes of a quadratic polynomial is 7/2 and the product is -3, the polynomial is {
= \(2x^2-7x-6\)
~ \(2x^2+7x-6\)
~ \(2x^2-7x+6\)
~ \(2x^2+7x+6\)
}

For a polynomial \(4x^2+4x+1\), the sum and product of zeroes are {
= -1 and 1/4
~ 1 and 1/4
~ -4 and 1
~ -1 and -4
}

//True or False

If the sum of the zeroes of a quadratic polynomial is 5 and the product is 6, the polynomial is \(x^2-5x+6\). {T}

The polynomial \(x^2-4x+4\) has zeroes 2 and -2. {F}

For a quadratic polynomial \(x^2-sx+p\), the sum of the zeroes is s and the product is p . {F}

The quadratic polynomial \(x^2+3x-10\) has a sum of zeroes equal to -3 and a product equal to -10. {T}

If the sum of the zeroes of a quadratic polynomial is -2 and the product is 8, the polynomial is \(x^2+2x+8\). {F}

For the quadratic polynomial \(x^2-7x+10\), the zeroes are 5 and 2. {T}

If the sum of the zeroes of a quadratic polynomial is 3/2 and the product is -4/5, the polynomial is \(2x^2-3x-4\). {F}

The polynomial \(x^2-6x+9\) represents a quadratic equation with equal roots. {T}

If the product of the zeroes of a quadratic polynomial is 0, then one of the zeroes must be 0. {T}

The quadratic polynomial \(x^2+2x-3\) has zeroes -3 and 1. {T}

//Numericals



//Fill in the blanks



//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=\(x^2-6x+9\) -> zeroes are equal
=\(x^2+4x+4\) -> sum of zeroes \= 3
=\(x^2-5x+6\) -> product of zeroes\=6
=\(x^2-3x+2\) -> zeroes are 2 and 3
}



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