Home
Class 9
MATHS
Find polynomial p(x) satisfying each set...

Find polynomial p(x) satisfying each set of conditions below.
i) First degree polynomial with p(1)=1 and p(2) =3.
ii) First degree polynomial with p(1) =-1 and p(-2)=3.

Text Solution

Verified by Experts

i)First degree polynomial =ax+b
p(x)=ax+b
If p(1)=1 then a+b=1
If p(2)=3 then 2a+b=3
Promotional Banner

Topper's Solved these Questions

  • Parallel Lines

    V PUBLICATION|Exercise QUESTION BANK|49 Videos

  • PRISMS

    V PUBLICATION|Exercise QUESTIONBANK|65 Videos

Similar Questions

Explore conceptually related problems

a)If p(x) =4x-4, find the numbers p(1) and p(2). b) Write a first degree polynomial q(x) where q(1)=1 and q(2)=5.

P(x) is a second degree polynomial with P(1)=0 and P(-2)=0. a) Find two first degree factors of P(x) . b) Find the polynomial P(x) .

Write the polynomial p(x)=x^2+7 x+12 as the product of first degree polynomials.

Write the polynomial p(x)= x^2 - 4 as the product of two first degree polynomials.

Write the polynomial x^2 -x -1 as a product of two first degree polynominals.

Factorise x^2-2 x+1 into first degree polynomials.

Write the polynomial x^2-3 x+2 as the product of two first degree polynomials.

Write the polynomial x^2-9 x-22 as the product of two first degree polynomials.

Write the second degree polynomials given below as the product of two first degree polynomials:- x^2-x-1 .

Write 2x^2+5x+3 as a product of two first degree polynomials.

V PUBLICATION-POLYNOMIALS-Question Bank
  1. Write each of the operations below as algebraic expressions, find out ...

    Text Solution

    |

  2. Find p(1) and p(10) in the following polynomials. i) p(x)= 2x+5 ii) ...

    Text Solution

    |

  3. Find p(0), p(1) and p(-1) in the following polynomials. i) p(x)= 3x+6 ...

    Text Solution

    |

  4. Find polynomial p(x) satisfying each set of conditions below. i) Firs...

    Text Solution

    |

  5. Write down the algebraic expression to find out each of the following....

    Text Solution

    |

  6. What is the algebraic expression denoting the hypotenuse of a right an...

    Text Solution

    |

  7. The area of a rectangle is 50 sq.cm. Write down the algebraic express...

    Text Solution

    |

  8. For p(x)= 2 x^ 2 − 3 x + 1 , find p(0),p(1),p(-1)

    Text Solution

    |

  9. If p(x)= 3 x^ 2 − a x + 1 and we want p(1) =2 what number should we ta...

    Text Solution

    |

  10. If p(x)= 2 x^ 3 + a x^ 2 − 7 x + b and we want p(1)=3 and p(2)=19 wha...

    Text Solution

    |

  11. A ball is thrown upwards with a speed of 40m/cm loses speed at the rat...

    Text Solution

    |

  12. In the polynomial p(x)= 2 x^ 3 − 3 x^ 2 − 11 x − 6 find p(3),p(-2) a...

    Text Solution

    |

  13. For p(x)= ax^3 + b x^2 + c x + d .If p(1)=p(-1) prove that a+c=0

    Text Solution

    |

  14. a)If p(x) =4x-4, find the numbers p(1) and p(2). b) Write a first degr...

    Text Solution

    |

  15. 100xx17=1700,isn't it? So, when 1700 is divided by 100 will get quotie...

    Text Solution

    |

  16. The expression given below, which of them are polynomials. i) x^ 3 + ...

    Text Solution

    |

  17. In the polynomial p(x)= 2 x^ 3 − 3 x^ 2 − 7 x + 3 , find p(-1),p(-2),p...

    Text Solution

    |

  18. In the polynomial p(x)= a x^ 3 + b x^ 2 + c x + d if p(2)=p(-2), prov...

    Text Solution

    |

  19. Write down two third degree equations such that p(1)=p(-1).

    Text Solution

    |

  20. Length of a rectangle is one less than two times its breadth. a) If l...

    Text Solution

    |