alleryStart learning →Find the zero of p(x) = 3x − 12.
- x = 3
- x = 4
- x = 12
- x = −4
Show answer and solution
Correct answer: B. x = 4
To find the zero, set p(x) = 0.
3x − 12 = 0
3x = 12
x = 12/3 = 4.
Therefore the zero is x = 4 (option B).
DSSSB TGT Polynomials — practice questions — page 2
Explore 44 free Polynomials questions in DSSSB TGT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 31–44 of 44.
Find the zero of p(x) = 3x − 12.Read the answer and worked solution →How many real zeroes does p(x) = x² + 4 have?Read the answer and worked solution →Find the zeroes of x² − 5x + 6.Read the answer and worked solution →How many real zeroes does p(x) = (x − 1)² have?Read the answer and worked solution →Find the zeroes of 4x² − 4x − 3.Read the answer and worked solution →For what value of k does p(x) = x² + kx + 9 have equal zeroes?Read the answer and worked solution →If α and β are zeroes of x² − 5x + 6, find α + β and αβ.Read the answer and worked solution →For 3x² + 7x − 2, find the sum and product of zeroes.Read the answer and worked solution →Construct a quadratic polynomial whose zeroes are 3 and 5.Read the answer and worked solution →One zero of x² − 7x + k is 3. Find k and the other zero.Read the answer and worked solution →If α and β are zeroes of x² + 5x + 4, find α + β + αβ.Read the answer and worked solution →Construct a quadratic whose zeroes are 2 and −7.Read the answer and worked solution →Match each polynomial to its degreeRead the answer and worked solution →Key in the degreeRead the answer and worked solution →
Worked practice questions
How many real zeroes does p(x) = x² + 4 have?
- 1
- 2
- 4
- 0
Show answer and solution
Correct answer: D. 0
x² + 4 > 0 for every real x.
The parabola never crosses the x-axis.
D = 0 − 16 = −16 < 0, confirming no real zeroes.
Find the zeroes of x² − 5x + 6.
- −2 and −3
- 2 and 3
- 1 and 6
- −1 and 6
Show answer and solution
Correct answer: B. 2 and 3
Factor: (x − 2)(x − 3). Zeroes are 2 and 3.
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