If 2 is a zero of both the polynomial, 3x^2 + ax - 14 and 2x - b, then a - 2b = ? Please give me answers with step by step.
Added by James C.
Step 1
We know that 2 is a zero of both polynomials, so we can substitute 2 for x in each polynomial and set them equal to zero. For the first polynomial, we have: 3(2)^2 + a(2) - 14 = 0 Simplifying, we get: 12 + 2a - 14 = 0 2a - 2 = 0 2a = 2 a = 1 So the first Show more…
Show all steps
Close
Your feedback will help us improve your experience
Tyna Senecal and 100 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
If 2 and -2 are the zeroes of the polynomial p(x) = ax⁴ + 2x³ - 3x² + bx - 4, find the values of a and b and hence p(-3).
Rashmi P.
Show that 1/2 is the zero of the polynomial 2X ^2 -7x +3
Amine Y.
Find the value of each polynomial for }(a) x=2 \text { and }(b) x=-1 $$ -3 x^{2}+14 x-2 $$
Exponents and Polynomials
Adding and Subtracting Polynomials; Graphing Simple Polynomials
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD