Find the value of c so that the polynomial p(r) is divisible by (r + 2). p(z) 4x + ca +a + 2 %3D %3=

Q: Find the value of c that will cause the polynomial f(x) = x2 + 3x + c to have 3 as

A: f(x)=x2+3x+c

Q: Letf(x) = 4x + 5.Find values for a and b such that the equationf(ax + b) = xis true for all values…

A: If f(x)=4x+5,then f(ax+b) is obtained by replacing x by ax+b in function f(x) as shown on board

Q: Simplify the polynomial (3x² + 2xy + 5y²) - (-3x² - 2xy + 3y²) O-9x² + xy + 8y² 2x² - 4xy-8y² 3x² +…

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Q: Find the value ofc that makes x² +10x +c a perfect square polynomial

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Q: FInd p(2) and p(-5) for each polynomial function. 1. p(x)=4x3-3x2-24x-9 2. p(x)=6x3-4x2-14x+4

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Q: Forp(x)=a0+a1x+a2x2 andq(x)=b0+b1x+b2x2 fromP2,define ⟨p,q⟩=a0b0 +a1b1 +a2b2. Find the distance and…

A: Given for px=a0+a1x+a2x2 and qx=b0+b1x+b2x2 in ℙ2, define  p,q=a0b0+a1b1+a2b2

Q: Find the polynomial representing the distance of the water skier from the boat. (Assume f(x) = (7x –…

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Q: Find the polynomial the passes through the following points (0,0), (2, −2), (4,0)

A: The general form of a polynomial of degree n is given by fx=a0xn+a1xn-1+···+an, where a0,a1,···,an…

Q: Express as a polynomial. (2u +3)(u - 4) ( 4u+u ) 2

A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

Q: Simplify P(x) + Q(x). * P(x) and Q(x) are polynomials whereP(x) = 2x- 5x + 4 and Q(x) = 3x- 10. %3D…

A: given: Px=2x2-5x+4  and Qx=3x-10

Q: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: Find all the zeros of the Polynomial Function P (x) = 6x* + x³ – 13x? – 2x + 2. |

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Q: For the polynomial below, 3 is a zero. h(x) =x' - 7x + 25x – 39 Express h (x) as a product of linear…

A: Given,            h(x) = x3 - 7x2 + 25x -39

Q: Find p(1) and p (-3) of each polynomial. P(x) 3 х4 - Зx2 -1

A: Solution) P(x) = x4 - 3x2 -1 P(1) = 14 - 3× 12 - 1 P(1) = 1 - 3 - 1 P(1) = -3  P(-3) =( -3)4 -…

Q: Write a polynomial that is best represented by the graph. (-7,0) (-6,0) | (1, 0) y = x' – 12x² + 29x…

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Q: The negative root of x' – 3x° + x> – x4 – x – 11x + 31 the x-axis.

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.