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Polynomials

Short Answer Type

371. If x = 4, is a zero of the polynomial x² – 5x + 4, write a factor of the given polynomial.

353 Views

Long Answer Type

372. If α, β are the zeroes of the polynomial p(x) = 4x² + 3x + 7. Find the value of $space space 1 over straight alpha plus 1 over straight beta.$

We have,
p(x) = 4x² + 3x + 7, then
Sum of the zeroes (α + β)

equals fraction numerator negative Coeff. of space straight x over denominator Coeff. space of space straight x squared end fraction equals fraction numerator negative 3 over denominator 4 end fraction

And, product of the zeroes (α. β)

equals space fraction numerator Constant space term over denominator Coeff. of space straight x squared end fraction equals 7 over 4

Now,

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equals fraction numerator negative begin display style 3 over 4 end style over denominator begin display style 7 over 4 end style end fraction equals negative 3 over 7.

Ans.

150 Views

Short Answer Type

373. If one root of the polynomial p(x) = 5x² + 13x + K is reciprocal of the other. Find the value of K.

522 Views

Long Answer Type

374.

If sum of the squares of zeroes of the quadratic polynomial p(x) = x² – 8x + K is 40, find the value of K.

1773 Views

375. Find the sum and product of the zeroes of the quadratic polynomial:
p(x) = abx² + (b² – ac) x – bc.

98 Views

Short Answer Type

376. The sum and product of the zeroes of quadratic polynomial are –1/2 and –3 respectively. What is the quadratic polynomial ?

243 Views

377. The graph of y = f(x) is given below. Find the number of zeroes of f(x).

566 Views

378. What are parabolas?

74 Views

379. In Fig. 2.4, the graph of a polynomial p{x) is given. Find the zeroes of the polynomial.

98 Views

380. Write the zeroes of the polynomial x²+2x+1.

78 Views

Previous Year Papers

Test Series

Test Yourself

Short Answer Type

Long Answer Type

372. If α, β are the zeroes of the polynomial p(x) = 4x2 + 3x + 7. Find the value of

Short Answer Type

Long Answer Type

Short Answer Type

372. If α, β are the zeroes of the polynomial p(x) = 4x² + 3x + 7. Find the value of $space space 1 over straight alpha plus 1 over straight beta.$