I'm taking a Pre-Calc class, and I really do not have a strong background from Alg. Short Answer Type Questions I … Thanks for the feedback. Rewrite as plus. Factor out the GCF . Scarlett is designing a package for a candy her company makes. Please try again using a different payment method. Lv 7. What must be subtracted from p(x) = 8x 4 + 14x 3 – 2x 2 + 8x – 12 so that 4x 2 + 3x – 2 is factor of p(x)? (1 + -4x)(3 + -2x) = 0 Subproblem 1 Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. 6 years ago. Report an issue . Here are some examples illustrating how to ask about factoring. Don't worry! Find the value of a and b so that 8x^4 + 14x^3 - 2x^2 + ax + b is exactly divisible by 4x^2 + 3x - 2. asked Sep 29, 2018 in Mathematics by AnjaliVarma ( 29.3k points) polynomials Clearly, remainder is zero, so x2 + 3x + 1 is a factor of polynomial 3x 4 + 5x 3 – 7x 2 + 2x + 2 (ii) We have, Clearly, remainder is zero, so t’ – 3 is a factor of polynomial 2t 4 + 3t 3 – 2t 2 – 9t – 12. The GCF is 2x 2x (x^2+2x+4) This is your final answer because there is not other way to factor. Factor out of . Factoring by pulling out fails : The groups have no common factor and can not be added up to form a multiplication. Favorite Answer. 7 + 8x 2-3x + 4x 4. answer choices . Factor out of . 1 decade ago. For instance, 6 is a factor of 12, 6, and 18, and x is a factor of each term. 2-8. Add your answer and earn points. State the degree of the polynomial. Polynomial Long Division : 2.4 Polynomial Long Division Dividing : x 3-8x 2 +14x-4 ("Dividend") Equations : Tiger Algebra gives you not only the answers, but also the complete step by step method for solving your equations 0=x^5-6x^4+14x^3-16x^2+8x so that you understand better Solve by Factoring 2x^2=8x. Math. (2x-3)(4x-1) Given - 8x^2-4x+3 8x^2-2x-12x+3 2x(4x-1)-3(4x-1) (2x-3)(4x-1) 2x^2 + 8x + 6. Rewrite as plus. Factor out of . Example 1. Factor the polynomial. SURVEY . using the difference of squares formula to help factor the polynomial. answer choices . 2. 2x^3 + 4x^2 + 8x - 14754864 Polynomial Long Division : 4.2 Polynomial Long Division The polynomial 2x^3 - 5x^2 + 4x - 10 is split into two groups, 2x^3 + 4x and -5x^2 - 10. Find an answer to your question Find the polynomial. An example of a polynomial (with degree 3) is: p(x) = 4x 3 − 3x 2 − 25x − 6. Thank you so much~ a.) Thank you so much~ a.) The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms In our case this means that 3x 4 + 8x 3 + 13x 2 + 14x + 6 can be divided with x + 1 . Move to the left side of the equation by subtracting it from both sides. x²+4x-8. Answer Save. Factors of 8= 8x1 and 4x2 Factors of 4= 4x1 and 2x2 If you choose to use the factors 4x2 for 8 then this is your solution process: What must be subtracted from p(x) = 8x^4 + 14x^3 – 2x^2 + 7x – 8 so that the resulting polynomial is exactly divisible by g(x) = 4x^2 + 3x – 2 asked Mar 12, 2018 in Mathematics by Golu ( 105k points) 2 Answers. x4 + 2x3 + 8x2 + 14x + 7. can be divided with x + 1. 4x^3, 8x^2 and 96x have 4x as a common factor. For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is . Quarterback's false positive test a sign of things to come First, let's look just at the factors of the 8 and factors of 4. Polynomial Long Division : 2.4 Polynomial Long Division a.) The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms In our case this means that x 3-8x 2 +5x+14 can be divided by 3 different polynomials,including by x-7 . You want to keep your quadratic in standard order to help see if it can be factored further. Join now. Question 187131: please factor out polynomial. Solution for 8x^2-14x+3=0 equation: Simplifying 8x 2 + -14x + 3 = 0 Reorder the terms: 3 + -14x + 8x 2 = 0 Solving 3 + -14x + 8x 2 = 0 Solving for variable 'x'. SURVEY . Factor out of . Log in. Answer: 2011. Anonymous. When you have tried all the factoring tricks in your bag (GCF, backwards FOIL, difference of squares, and so on), and the quadratic equation will not factor, then you can either complete the square or use the quadratic formula to solve the equation.The choice is yours. Relevance. 4.3    Find roots (zeroes) of :       F(x) = x3+4x2+2x-4     See theory in step 4.1 In this case, the Leading Coefficient is  1  and the Trailing Constant is  -4. 2(x^2+4x+3) llaffer. Polynomial Roots Calculator : 3.3 Find roots (zeroes) of : F(x) = 8x 3-14x 2-7x+6 Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0 Rational Roots Test is one of the above mentioned tools. Factor out of . So starting with what you started with, we have: 2x(x² + 2x + 4) Rewrite as plus. So you want to take out the GCF first. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. jimrgrant1 jimrgrant1 Answer: Answer by jim_thompson5910(35215) (Show Source): You can put this solution on YOUR website! For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is . Welcome to our new "Getting Started" math solutions series. 2x^3+4x^2+8x Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website! So 4x^3+8x^2-96x = 4x*(x^2+2x-24) = 4x(x-4)(x+6). Algebra Polynomials and Factoring Monomial Factors of Polynomials. For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is . Message received. Log in. How to solve: For the function g(x) = x^4 - 2x^3 + 14x^2 - 8x + 40 a. Solve your math problems using our free math solver with step-by-step solutions. Start with the given expression. Apply the distributive property. For a polynomial, the GCF is the largest polynomial that will divide evenly into that polynomial. 5 0. 8x^2 + 16x +12 thank you! Related Symbolab blog posts. Question 663778: Factor the polynomial?