(a) By sketching the graph of the function f(x) = x³ + x² – 1, show that the equation f (x) = 0 has only one real root. (b) Show that the real root of f(x) = 0 lies in the interval [0, 1].

Q: Identify the degree of the following polynomial. 8x^(2)+\sqrt(4x^(6)), where x>=0

A:

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A:

Q: What is x^2+y?

A: Given expression.  x²+y

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A: For division, we subtract the exponents

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A: Transform into the standard form.

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A:

Q: Simplify. if P(x) =4x^2- 4x, find P(-2).

A:

Q: When x = 2 , y = 4 , and z = 3 , what is the value of 2x^3 - 3y^2 + 6z

A: SOLUTION-

Q: When x = 2 and y = 4 , what is the value of ( x + y ) + (3x^2 - y)?

A:

Q: find the roots 4x^5-21x^3+27x=0

A: Given that: 4x5-21x3+27x=0 To solve the given polynomials:…

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A: Given equation 9x3+30x2-24x=0

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A:

Q: please sketch and show how  y=x^3 + 3x^2

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A: We have to simplify x3y-2 xy3x2y22.

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A: Given: f(-2)=3-5x+x2

Q: -x^2= 0

A: Answer

Q: Sketch y=(x^2-9)/x+3

A: Sol:- y=(x^2-9)/(x+3)=(x+3)(x-3)/(x+3)=x-3 so y=x-3 put y=0 x-3=0 x=3 (3,0) put x=0 y=0-3=-3 (0,-3)…

Q: find the zeros of the equation x^2 +5x -6 = y

A:

Q: Solve for x and check x/x+2 + 2/x-2 =x+6/x^(2)-4

A: Given information:The given equation is .

Q: x^6+10*x^5+35*x^4+315*x^3+12*x^2-140*x+2.5 then insert a table to draw the graph of the previous…

A: Given equation ; x6+10x5+35x4+315x3+12x2-140x+2.5=0