On multiplying the polynomials x2+ px + q… | Answer

Subject

Quantitative Aptitude

Topic

Algebra

On multiplying the polynomials x2+ px + q and x2+ mx + n with each other, we get a polynomial whose zeroes are 1, 2, 3 and 4. What will be the value of (p + m)(q + n)?
Reading

ক)

-110

খ)

-140

গ)

-180

ঘ)

-210

ঙ)

Cannot be determined

Explanation

Here, p, m, q and n could attain different values in different cases. For example, if x 2 + px + q correspond to roots 1 and 2, and x 2 + mx + n correspond to roots 3 and 4, then p = -3, q = 2, m = -7, n = 12. Here, (p + m)(q + n) = (-10)(14) = -140. And, if x 2 + px + q correspond to roots 1 and 3, and x 2 + mx + n correspond to roots 2 and 4, then p = -4, q = 3, m = -6, n = 8. Here, (p + m)(q + n) = (-10)(11) = -110. We see that unique value of (p + m)(q + n) cannot be determined.

\frac{a}{3} = \frac{b}{4} = \frac{c}{7}

then what would be the value of

\frac{{a + b + c}}{a}

?Multiplication and difference of two numbers are 93 and 28 respectively. Find the difference of reciprocals of the numbers.if

{P^2} + {1 \over {{P^2}}} = 7

, then find the value of

{P^2} - {1 \over {{P^2}}}.

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On multiplying the polynomials x2+ px + q and x2+ mx + n with each other, we get a polynomial whose zeroes are 1, 2, 3 and 4. What will be the value of (p + m)(q + n)?Reading

On multiplying the polynomials x2+ px + q and x2+ mx + n with each other, we get a polynomial whose zeroes are 1, 2, 3 and 4. What will be the value of (p + m)(q + n)?

Explanation

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On multiplying the polynomials x2+ px + q and x2+ mx + n with each other, we get a polynomial whose zeroes are 1, 2, 3 and 4. What will be the value of (p + m)(q + n)?
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