Part A: Multiply (5x2 + x − 4)(x + 2). Part B: Multiply −3x2(6x2 + 2x − 3). Part C: Let f(x) = x2 + 3x − 4 and g(x) = x + 5. Find f(x) ⋅ g(x). Part D:  Which of the following represents the area of a rectangle whose length is 5x − 3 and whose width is x + 7?  5x2 − 21  5x2 + 9x − 21  5x2 + 32x − 21  5x2 − 32x − 21

Q: Factorize the polynomial f(x) =x^4−2x^3+x^2−2x as much as possible (explain each step), then find…

A: Given: fx=x4-2x3+x2-2x The aim is to factorise the polynomial and find its sign depending on x.

Q: If two of the factors for the function f (x) = x4 - 5x3 - 3x2 + 13x + 10 are (x - 5) and (x - 2),…

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Q: Create a cubic expression that when divided by (x-1) will have a remainder of 6

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Q: Find x and y intercepts for 8x/x2+7

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Q: 2. If the area (A) of the rectangle is (4x³ + 5x + 7) and the width (W) is (x + (Z + 4)). Find the…

A: Given the area of rectangle is (4x³+5x+7) and width is (x+6),  To find the length of rectangle in…

Q: Determine the remainder when the function, p(x) = 4x3 – 10x2 – 6x + 19, is divided by 2x – 5.…

A: We have to find the remainder.

Q: A rectangular poster has dimensions (2x-1) by (3x+2). Two congruent squares are cut out of the…

A: Let length of one side of rectangle be (2x-1) and length of other side be (3x+2). Two congruent…

Q: 1x A box is x inches high, (2x+3) inches wide, and (2x+5) inches long. In terms of x, what is the…

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Q: J ** +3x³ + 2x² + 1 x² + 3x + 2 dx; use division.

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Q: What is the area of ​​a square whose side measures (x2-2x+1)?

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Q: find the constant term of (2x² + 1/x)⁹

A: find the constant term of (2x² + 1/x)⁹

Q: Differentiate the function √√7e³x - 1 2x² + 1

A: (u/v)' = (v.u'-uv')/v2 (u+v)'= u'+v'  (u.v)' = uv'+u'v

Q: The height of a ball thrown vertically upward t seconds after it is released is given by s(t) =…

A: Given: The height of the ball after t seconds is given by, st=-16t2+64t+3. To find: Height of the…

Q: Explain why f(x) = 5x + 7x + x + 9 has no real zeros.

A: Consider the given: Descartes' Rules of Signs:Let fx be a polynomial with real coefficients and a…

Q: write f(x)=-2^2+6x+6 in form f(x)=a(x-h)^2+k

A: That's easy. Have a great day!!!

Q: 4= -59-x2-16x +15 2(x-s)

A: Curve for x-intercept,by cross multiplyNow, we determine root of the quadratic equation..Use formula…

Q: Find two First terms whose product is 8x. 10x 3三 (8x )(x &x2 10x 3三 (4x )(2x

A: Given  8x2-10x-3 To find two terms whose product is 8x2.

Q: Use increment method V4x + 3

A: Here we have to use the increment method to find the derivative of y=4x+3