|f P(x) =12x³ - 16x² - 7x+6, and P(1) = 0, then the factorization of P(x) is (3x − 2) (2x + 3) (2x +1) - (2x + 3) (3x-2) (x + 1) (2x - 3) (3x +2)(x-1) (2x - 1)(2x - 3) (3x+2)

Q: (x² +5x-4) + (2x²+2x+3)

A: x2+5x-4+2x2+2x+3

Q: 12x² +6x +4 4x² - 1

A:

Q: +2x-2 h(x) 5x +

A:

Q: 6. Factor: x* - 45x2 + 324 A. (x-6)(x-3)(x2) B. (x-6)(x- 6)(x+3)(x+ 3) C. (x+ 6)(x+3)(-x²) D.…

A:

Q: If-2x³-6x² + 5x-7 is divided by x-7 to give a quotient of -2x²-20x-135 and a remainder of -952, then…

A: Given: -2x3-6x2+5x-7 is divided by x-7 to give a quotient of -2x2-20x-135 a remainder of -952.

Q: If g (³x 3x-5 4 = 4x + 7, find g(2x − 3) -

A: Topic -functions We are given g3x-54=4x+7

Q: 5 -x° + 2x 3 dx .2 x +4

A: Consider ∫x5-x3+2xx2+4dx = ∫x5+4x3-5x3+2xx2+4dx= ∫x5+4x3-5x3-20x+2x+20xx2+4dx=…

Q: Show that x2 - 4 is a factor of x* – 5x3 + 2x2 + 20x – 24.

A:

Q: 7. Is (2x - 5) a factor of (x5+2x4-x³ + 6x-7)?

A: To check in the polynomialHence, the polynomial x5+2x4−x3+6x−7≠0 for x=52 which correspond to the…

Q: Expand and simplify. (a) 4(x + 3) + 5(2x - 1) (b) (x + 3)(x- 5) (c) (2x – 1)(3x + 2) (d) (a – 2b)(a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Why is x-3 a factor of m(x) x^3-x^2-5x-3

A: It is  polynomial equation.

Q: Determine the coefficient of the product  (x-3)(x-2)(x-1) 

A: Given  (x-3)(x-2)(x-1)

Q: (x+1) is a factor of x²+2x²+2x+1 Find the other factor.

A: is a factor of .To find other factor.

Q: prove (sin4x-sin2x) / (cos4x-cos2x)   How do I prove (sin4x-sin2x)/(cos4x-cos2x) = cotx.

A: let  A=sin4x-sin2xcos4x-cos2xformula used is…

Q: Which of the following expressions are polynomials? (a) 2x- x + V3 (b) x? -- 3Vx 1 (c) x + 4x + 7…

A: Which of the following expressions are polynomials? a) 2x3-12x+3The powers of the variables are 3, 1…

Q: If z2 + 2x – 8 = (x+ A)? – B² , then the value of B is

A:

Q: what is the leading coefficient and end behaviour of x(3x - 4)(-2x + 1)(x - 5)

A:

Q: The polynomial p(x) = 6x4 - ax3 - bx2 + 28x + 12 where a and b are constant, has factors (x+2) and…

A: The given polynomial is p(x)=6x4-ax3-bx2+28x+12 since x+2 is the factor so x=-2 will make the…

Q: find the missing P and Q (x+P)(x+7)=x2+15x+Q

A: Given

Q: Can you show me how to factor 3x3/2-9x1/2+6x-1/2 into 3x-1/2(x-1)(x-2)?

A: Factor the given expression to get a simplified expression as,

Q: -114 < -19x

A:

Q: Show that  2x-3 is a factor of x+2x3-9x2+12

A:

Q: Find f'(x) and simplify. f(x)=7׳ (x² -9)

A:

Q: 7x 6 completely if (x 1) is a factor Factor

A: Given that (x+1) is a factor of x3-7x-6. Divide the polynomial x3-7x-6 by x+1 as follows.

Q: y = 3x2 + 10x - 8 O (3x-2) (x + 4) (x + 12) (x- 2) (3x + 2) (x (x- 12) (x +2)

A:

Q: If Q(x) = 7x³ + x and R(x) = 6x – 7x², find the following: %3D a) (Q – R)(x) =|| %3D b) (Q * R)(x)…

A: Given: Qx=7x3+x, Rx=6x-7x2 For finding Q-Rx,we substract Rx from Qx