Factor if possible. If the polynomial is prime, state so. 9x? + 6xy + y² – 49

Q: Factor the following quadratic polynomials. (a) x2 + 7x + 12 (b) x2 - 13x + 12 (c) x2 - 4x - 12 (d)…

A: As there are multiple sub parts, first three are solved here.

Q: B. Find the zeros/roots and factors of the following polynomial equations: 1. x-42-17x+ 60 =0 Zeros:…

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Q: P(x)=x4 +7x3+12x2+11x+34  dividing the polynomial by x+5, find the quotient and the remainder with…

A: HORNER's THEOREM:  To Divide the polynomial f(x)=anxn+an-1xn-1+⋯⋯⋯⋯+a1x+a0 with other polynomial…

Q: If 3 and -4 are the roots of the polynomial Chapter R 55 G(x)=x+3x+px²-31x+2k, find the values of…

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Q: Given P(x) write the full equation, including P(x) x° + x2 + 9x + 9. Write P in factored form (as a…

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Q: iven P(x)= 6x^5 + 49x^4 +122x^3 +33x^2 -234x-216, find the zeros and write P in factored

A: Given Data :  function p(x)=6x5+49x4+122x3+33x2-234x-216                                   (1) To…

Q: 10. Use the appropriate method to solve the following polynomials. a. y = x* + 35x² – 36 - b. y =…

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Q: Q10.  Find the roots algebraically by factoring:  a) x3 – 8x2-3x +90 b) x3 – 64

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Q: Rewrite the polynomial in the form ax + bx + cand then identify the values of a, b, and c. 2.n2 +7x

A: On comparing the expression with , it can be observed that the constant term is missing. This…

Q: 2. P(x) = -9x4 + 9x3 – 26x2 + 26x- 8; 3x-1 %3D

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Q: Find the roots of the factored polynomial. (x - 1)(x - 3)(x – 6) Write your answer as a list of…

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Q: Find all solutions of the following polynomial equation. 6 + 15x2 – 17x - 4x3 = 0 %3D

A: Given :

Q: c) Find all zeros of the polynomial 4 d(x) = 7x' + 32x° + 62x¯ + 352x – 165 given that (x c) is a…

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Q: If one zero of a polynomial 3x? – 8x + 2k +1=0 is seven times the other then k = 2 1 (D) none (A) 5…

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Q: If we divide the polynomial P(x) by the factor x − c and we obtain a remainder of k, then we know…

A: Remainder theorem states that if we divide a polynomial by x-a then the remainder will be fa. Here,…

Q: Completely factor the polynomial f(x) = x +7x? + 10x.

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Q: 20. Find the roots of the polynomial 2. P(x) = 6x – 12x +78. %3D

A: Given:      Px=6x2-12x+78   This is in the form of quadratic equation ax2+bx+c     Roots of the…

Q: 19. Which of the below is the completely factored form of the polynomial shown? x+4 C. (x- 21)* d.…

A: See the details solution in below

Q: P(X)=3X^5+4X^3+2X^2+3X-6 How many zeros does the above polynomial have?

A: From the given problem:   Px=3x5+4x3+2x2+3x-6   Now differentiate the given function with respect to…

Q: Given P(x) = x° + 5x? + 4x + 20. Write P in factored form (as a product of linear factors). Use your…

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Q: Cermine which of the following polynomials is not factorable (prime). A. 2x2 - 7x -4 B. 3x2 + 2x + 1…

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Q: The binomial X+ 4 is a factor of which polynomial? O A. x2 + 2x- 24 O B. x3 –10x? +33x-36 OCX3- 2x?…

A: The binomial x+4 is a factor of a polynomial if P-4=0 Option A: x2+2x-24…

Q: Given P(x) = 3x –- x* + 81a³ – 272? – 972x + 324, and that 6i is a zero, write Pin factored form (as…

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Q: Given P(x) = 3x- 5x linear factors). Be sure to write the full equation, including P(x) = . 48x +…

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Q: Given P(x) = 7x° – 10x? + 111x + 68, write P in factored form (as a product of linear factors) if…

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Q: Which polynomial has (x + 1) as a factor? а. т3 + 2а? —19х—20 b. z3—21х + 20 с. 23 + 8х + 11х—20 d.…

A: We have to check which equation gives us 0 when we put as x=-1

Q: Given P(z) = 3z - 5x + 37x-83x2 - 176x – 48, and that 4i is a zero, write P in factored form (as a…

A: The given polynomial is: P(x)=3x5-5x4+37x3-83x2-176x-48

Q: Given P(x) = x³ + 5x? + 25x + 125, find the zeros, real and non-real of P The zeros are 5 Write P in…

A: Given P(x) = x³ + 5x² + 25x + 125 We have to write P in factored from

Q: Find the value of c so that (r 2) is a factor of the polynomial p(D). p(z) = a - 4x? + 3x +c

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Q: Use the REMAINDER THEOREM to find the remainder of each division. State whether the binomial is a…

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Q: (a) Construct a polynomial x+2x+3x+4 (b) Find out the value of the above for x-1,2,3 (c) Calculate…

A: NOTE: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Given P(x) = x° + 3x + 9x + 27. Write P in factored form (as a product of linear factors). Be sure…

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Q: 11. If the solutions to a polynomial equation are -5, 0, and 1, which of the following could be the…

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Q: Given P(x) = 3æ – 11a + 28x3 – 84x? + 9x + 135, and that 3i is a zero, write P in factored form (as…

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Q: A factor of a polynomial P(x) is x - c. Which must be true of P(x) ? A P(c) = 0 BP(-c) = 0 CP(0) = c…

A: Given polynomial is Px and its factor is x-c.

Q: Given P(x) 3x55x² - 4x³ – 8x² 64x + 48, and that 2i is a zero, write P in factored form (as a…

A: NOTE: Refresh your page if you can't see any equations. . the given root is  so another root must…

Q: Given P(x) = 3x5 – 8x4 + 70x³ – 194x? – 125x + 150 and that 5i is a zero, write P in factored form…

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Q: Given P(x) = x° + 2x2 + x + 2. Write P in factored form (as a product of linear factors). Be sure to…

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Q: Find the rational roots of the polynomial write the polymomial Pes factored if: and 2.

A: Given, P(x)=x3-6x2+12x-8

Q: Find (−?^5 + 7?^3 − ?) ÷ (?^3 −?^2 + 1) Write the polynomial in the form of P(x) = d(x)q(x) + r(x)

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Q: 3. Which of the following polynomial equations has solutions 0 and -7? (a + 7) = 0 (2 - 7)° = 0…

A: Solutions:0 and -7

Q: Given P(x) = x + 5x + x + 5. Write P in factored form (as a product of linear factors). Be sure to…

A: If x=a is a solution of a polynomial equation then (x-a) is a factor of that polynomial.

Q: If t = -3 then find the value of the given polynomial  3t2+5t+6

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Q: Find the value of c so that (x- 2) is a factor of the polynomial p(z). p(a) a-4x2 +3x + c C = Show…

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Q: Factor the given polynomial y=x4+x³-11x² - 5x + 30 )( x + |)(x². y=(x- -2 3 2 4 1 -3 2-5

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Q: Q.18 If x– 1 and x + 2 are factors of x +10x + ax+b, then find the values of a and b. If x = 2 and x…

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Q: Order the steps to factor 2x* – 2yA completely. 2[ ( x* } - ° ] (y? 2(x* - y*) 2(x-y) (x+y)*…

A: Given : For the given step provided to the factor of 2x4-2y4we have to order each steps completely

Q: Given P(x) 16. Write P in factored form (as a product of linear factors). = T P(x)

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Q: Find the degree of the polynomial. 4 8x° +2x +8 The degree is (Type a whole number.)

A: Tt

Q: Determine for which polynomial(s) (x + 2) is a factor. Explain your answer. P(x) = x* – 3x3 – 16x –…

A: I hope that this solution will help you .Thankyou. Best regards.