Cubic Polynomial
Trending Questions
Q. Question 17
Which of the following is a factor of (x+y)3–(x3+y3)?
A) x2+y2+2xy
B) x2+y2–xy
C) xy2
D) 3xy
Which of the following is a factor of (x+y)3–(x3+y3)?
A) x2+y2+2xy
B) x2+y2–xy
C) xy2
D) 3xy
Q. Question 4
Write the coefficient of x2 in each of the following:
(i) π6x+x2−1
(ii) 3x−5
(iii) (x−1)(3x−4)
(iv) (2x−5)(2x2–3x+1)
Write the coefficient of x2 in each of the following:
(i) π6x+x2−1
(ii) 3x−5
(iii) (x−1)(3x−4)
(iv) (2x−5)(2x2–3x+1)
Q. 3.Let ax^3+bx^2+ cx + d be a cubic polynomial. If its leading coefficient is unity such that p(2)=5, p(3)=4and its curve passes through the origin, then find the value of 3(b +c+ d)
Q. This section contains 1 Assertion-Reason type question, which has 4 choices (a), (b), (c) and (d) out of which ONLY ONE is correct.
इस खण्ड में 1 कथन-कारण प्रकार का प्रश्न है, जिसमें 4 विकल्प (a), (b), (c) तथा (d) दिये गये हैं, जिनमें से केवल एक सही है।
A : The polynomial P(x) = x2 – 34x + 289 has only one zero.
A : बहुपद P(x) = x2 – 34x + 289 का केवल एक शून्यक है।
R : If (x – 5) is a factor of 2x2 – 5x + 3k, then k equals (−253).
R : यदि 2x2 – 5x + 3k का एक गुणनखण्ड (x – 5) है, तब k का मान (−253) है।
इस खण्ड में 1 कथन-कारण प्रकार का प्रश्न है, जिसमें 4 विकल्प (a), (b), (c) तथा (d) दिये गये हैं, जिनमें से केवल एक सही है।
A : The polynomial P(x) = x2 – 34x + 289 has only one zero.
A : बहुपद P(x) = x2 – 34x + 289 का केवल एक शून्यक है।
R : If (x – 5) is a factor of 2x2 – 5x + 3k, then k equals (−253).
R : यदि 2x2 – 5x + 3k का एक गुणनखण्ड (x – 5) है, तब k का मान (−253) है।
- Both (A) and (R) are true and (R) is the correct explanation of (A)
(A) तथा (R) दोनों सही हैं तथा (R), (A) का सही स्पष्टीकरण है - Both (A) and (R) are true but (R) is not the correct explanation of (A)
(A) तथा (R) दोनों सही हैं लेकिन (R), (A) का सही स्पष्टीकरण नहीं है - (A) is true but (R) is false
(A) सही है लेकिन (R) गलत है - (A) is false but (R) is true
(A) गलत है लेकिन (R) सही है
Q.
Which of the following is not a factor of ax2+by2+bxy+axy?
x + y
ax + by
a + b
1
Q. The sum of the three zeroes of the polynomial px3+qx2+rx+s is
- −qs
- sq
- −qp
- qs
Q. Identify the correct combination by matching the following polynomials with their respective maximum number of zeroes.
![](data:image/png;base64, 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)
Q. if the zeros of the polynomial ax^2+bx+c be in ratio m:n then prove that b^2mn=(m^2+n^2)ac
Q. Find the coefficient of xz in the expansion (2x−y+4z)2.
- −2
- −4
- 16
- −16