10th Class Mathematics Polynomials Question Bank MCQs - Polynomials

  • question_answer
    The value of p, for which (-4) is a zero of the polynomial \[{{x}^{2}}-2x\left( 7p+3 \right)\]is

    A) 3

    B) 2

    C) 4

    D) -2

    Correct Answer: A

    Solution :

    - 4 is a zero of  \[{{x}^{2}}-2x-\left( 7p+3 \right)\]
     Let \[f\left( x \right)={{x}^{2}}-2x-\left( 7p+3 \right)\]
                \[f\left( -4 \right)=0\]
     \[\Rightarrow \,\,0={{\left( -4 \right)}^{2}}-2\times \left( -4 \right)-\left( 7p+3 \right)\]
     \[\Rightarrow \,0=16+8-\left( 7p+3 \right)\]
     \[\Rightarrow \,\,7p+3=24\]
     \[\Rightarrow \,\,7p=24-3=21\]
     \[\therefore \,\,\,p=\frac{21}{7}=3\]
     


You need to login to perform this action.
You will be redirected in 3 sec spinner