🏫 Board➗ Maths

Polynomials

9 Board Maths previous year questions on Polynomials — options free on every question; 1 include the answer & explanation free, the rest unlock with PYQ Pass.

Q1 FREE PREVIEW

If twice the first number x is 5 less than 7 times

the second number y,

then which of the following equations is correct?

a

\(2x=7y+5\)

b

\(5x=7y+2\)

c

\(7x=2y-5\)

d

\(2x=7y-5\)

✓ Correct answer: d)

\(2x=7y-5\)

Explanation

let translate the statement into equation

Twice the first number x” →2x
5 less than 7 times the second number y” → \(7y−5\)

According to the statement:

\(2x=7y−5\)

This is the correct equation.

Q2

The zeroes of the polynomial \({x}^{2}-2x-8\) are :

a

2,4

b

2,5

c

-2,4

d

-2,6

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Q3

If α and β are the zeroes of the quadratic polynomial \(a{x}^{2}+bx+c\) then the value of \(\alpha +\beta\) will be

a

\(-\frac{b}{a}\)

b

\(\frac{b}{c}\)

c

\(\frac{c}{a}\)

d

\(-\frac{a}{b}\)

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Q4

If \(3\) is a zero of the polynomial \(2{x}^{2}+x+k\), then the value of \(k\) will be

[PYQ 2025]

a

\(-12\)

b

\(21\)

c

\(-21\)

d

\(12\)

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Q5

If \(3\) is a zero of polynomial \(2{x}^{2}+x+k\), then value of \(k\) will be

[PYQ 2021]

a

\(12\)

b

\(21\)

c

\(24\)

d

\(-21\)

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Q6

[Section A]

By putting \(x=2\) in polynomial \(f(x)=6x-2\), the value of polynomial will be

[PYQ 2021]

a

\(8\)

b

\(9\)

c

\(10\)

d

\(11\)

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Q7

How many zeroes will be in cubic polynomial?

a

Only one

b

0

c

2

d

3

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Q8

The zeroes of the polynomial \(x^{2}-2 x-8\) are :

a

\(2,4\)

b

\(2,5\)

c

\(-2,4\)

d

\(-2,6\)

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Q9

The pair of linear equations \({a}_{1}x+{b}_{1}y+{c}_{1}=0\) and \({a}_{2}x+{b}_{2}y+{c}_{2}=0\) is dependent and consistent. if

a

\(\frac{{a}_{1}}{{a}_{2}}\neq \frac{{b}_{1}}{{b}_{2}}\)

b

\(\frac{{a}_{1}}{{b}_{1}}=\frac{{b}_{1}}{{a}_{1}}=\frac{{c}_{1}}{{a}_{1}}\)

c

\(\frac{{a}_{1}}{{a}_{2}}=\frac{{b}_{1}}{{b}_{2}}=\frac{{c}_{1}}{{c}_{2}}\)

d

\(\frac{{a}_{1}}{{a}_{2}}=\frac{{b}_{1}}{{b}_{2}}\neq \frac{{c}_{1}}{{c}_{2}}\)

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