Question

The value of p (x) = 5x-4xsquare +3 for x=0

Answer 1

Answer:

3

Step-by-step explanation:

5*0-(4*0)²+3

0-0+3

3

Answer 2

$\bold{\blue{\underline{\red{G}\pink{iv}\green{en}\purple{:-}}}}$

• P(x) = -4x² + 5x + 3

$\bold{\blue{\underline{\red{Zeros}\pink{\:of\:}\green{\:the\:polynomials}\purple{:-}}}}$

• Zeros of the polynomial is the value of the variable for which when replaced in the polynomial the value for the polynomial changes to zero.

$\bold{\blue{\underline{\red{General}\pink{\:form \:of }\green{\:polynomial}\purple{:-}}}}$

• $\bold{a_{n}x^n + a_{n-1}x^{n-1} +...... + a_{2}x^2 + a_{1}x + a_{0}}$

• Where ' $\bold{a_{n} , a_{n-1} ...... a_{1} , a_{0}}$ ' are Real numbers and 'n' is an integer .

$\bold{\blue{\underline{\red{Q}\pink{uest}\green{ion}\purple{:-}}}}$

• Find the value of 'x' for which P(x) = 0

$\bold{\blue{\underline{\red{S}\pink{olut}\green{ion}\purple{:-}}}}$

• P(x) = -4x² + 5x + 3         ∵ Given 'x' is a factor of P(x)
• P(x) = 0
• -4x² + 5x + 3 = 0
• a = -4
• b = 5
• c = 3

• Quadratic formula = $\bold{\frac{-b\: \pm\:{\sqrt{b^{2}\:-\:4ac} }}{2a}}$

• x =  $\bold{\frac{-5\: \pm\:{\sqrt{5^{2}\:-\:4(-4)(3)} }}{2(-4)}}$  

• x =  $\bold{\frac{-5\: \pm\:{\sqrt{25\:+\:48}}}{-8}}$  

• x =  $\bold{\frac{-5\: \pm\:{\sqrt{73}}}{-8}}$  

• x =  $\bold{\frac{-5\: -\:{\sqrt{73}}}{-8}}$

       $\bold{\boxed{\green{x \:= \: \frac{5\: -\:{\sqrt{73}}}{8}}}}}}$

• x =  $\bold{\frac{-5\: +\:{\sqrt{73}}}{-8}}$  

       $\bold{\boxed{\green{x \:= \: \frac{5\: +\:{\sqrt{73}}}{8}}}}}}$